Question Bank: Linear Inequalities

Which of the following is a correct representation of the inequality 3x + 5 < 20?

If 4x - 3 > 5, what is the minimum value of x?

Which of the following inequalities represents 'x is at least 4'?

Solve the inequality: -3(x - 2) ≤ 6.

If 5x + 3 < 2x + 12, what is the solution set?

What is the solution to the inequality: 2x - 1 ≥ 3?

Solve the system of inequalities: x + 2 < 5 and 3x - 1 > 8.

Which representation is correct for the inequality 1 < 2x ≤ 5?

If x + 4 < 3, which of the following is true?

Identify the solution set for 3(x - 2) > 6.

What is the correct range of values for x in the inequality |x - 3| < 2?

What represents the inequality 'x is less than or equal to 10'?

Find the solution set for the inequality -2x + 6 < 0.

Which inequality represents 'x is between 2 and 5'?

If 7 - 3x < 1, determine x.

Which of the following is an example of a linear inequality?

What is the graphical representation of the inequality y < 2x + 3?

If x represents the number of items bought at $5 each and the budget is $50, what is the appropriate inequality?

Which of the following inequalities is NOT a linear inequality?

Which inequality represents a situation where x must not exceed 20?

If 2x + 3 < 15, what is the maximum value of x?

What represents a linear inequality in two variables?

If a classroom can hold a maximum of 30 students, which inequality represents this?

Which of the following inequalities uses the 'greater than equal' sign?

What is the solution to the inequality 4x - 5 ≥ 3?

In a given inequality, what does the symbol '>' denote?

Which inequality would mean that a value can be more than 10 but not equal to it?

For the inequality 2x + 3y > 12, which of the following point(s) does not satisfy it?

If the solution to an inequality is x > 5, which of the following intervals represents this solution?

Which inequality represents a stricter condition?

What type of inequality is represented by 2x + 3 ≥ 7?

What is the solution set of the inequality 5x < 20 when x is a natural number?

Which inequality represents the same set of solutions as x + 3 > 5?

What does the solution set of 2x - 1 ≤ 5 look like?

If 3x + 4 > 10, what is the largest integer solution?

Which of the following statements regarding the inequality -2x < -6 is true?

For the inequality 4 - x ≥ 1, what is the value of x?

What is the solution to the inequality 7x - 5 < 2x + 10?

When graphing the inequality x - 4 > 0, how would the solution look on a number line?

What represents the solution set of -x + 5 < 0 in interval notation?

What is the range of solutions for 2x + 7 ≤ 3 when solving for x?

When graphing the solution for 3x - 4 > 5, which type of circle is used?

Which value could NOT be a solution of the inequality 5 - 2x < 1?

What are the possible values of x if the inequality 2x + 3 ≥ 5 is true?

For which values of x does the inequality x + 5 < 2 hold true?

What is the graphical representation of the inequality x < 0?

Which range of integers satisfies the inequality 4x + 5 < 25?

What should be the solution for the inequality -3x + 6 ≤ 0?

Which of the following represents a linear inequality in two variables?

If 2x + 3y ≤ 12 and y ≥ 0, which inequality describes the feasible region for x?

What is the solution set for the inequality 5x - 8 < 2x + 1?

If the system of inequalities is 3x + 4y > 12 and x < 2, what is the range of y when x=1?

Which of the following represents a system of linear inequalities?

How can the inequality 7x - 2 ≥ 4x + 6 be solved?

What is the graphical representation of the inequality y < 2x - 3?

If you have the inequalities x + y < 10 and y > x, how many solutions satisfy both inequalities?

In the context of absolute value, which inequality correctly represents |x| < 4?

For the inequalities 2y + 3x ≤ 12 and x ≥ 0, how would you describe the solutions?

What is the intersection of the inequalities x + y > 4 and x - y < 2?

Which of the following inequalities is true if x ≥ 3?

What is the combined solution of the inequalities x + 2 < 5 and x - 1 > 0?

If x + y ≥ 5 and 3x + 2y ≤ 12, which of the following points is not a solution?

What is the solution to the inequality 3x + 5 < 20?

Which is true for the inequality x + 2 ≤ 4?

Solve for x: 2x - 4 > 8.

If 5x + 1 < 26, what is the maximum value for x?

Solve the system of inequalities: x + y ≤ 10 and x - y ≥ 2.

What inequality represents the temperature range of 30°C < C < 35°C converted to Fahrenheit?

Which of the following represents the inequality of acid content, given a 600-liter solution of 12% acid?

Solve the inequality: -3x + 12 ≥ 0.

If the inequality 4x + 5 < 2 is solved, what will be the result?

What is the graphical representation for the inequality y > 2x + 1?

Which inequality correctly models the statement: 'The total expenses, represented as 5x + 4y, must not exceed 100'?

For the inequality 2x - 3 ≥ 11, what is the smallest integer solution?

What is the range of values for x if the solution for the double inequality 1 < 3x + 2 < 14?

Given an inequality representing a budget limit, if 3x + 4y ≤ 600, how to interpret the coefficients 3 and 4?

Which of the following represents a strict inequality?

If the inequality 2x + 3y < 12 is represented graphically, what would be the region for the inequality?

What is the solution set for the inequality x - 4 ≥ 2?

In which quadrant will the solution of the inequality 2x + 3y ≤ 6 lie if both x and y are non-negative?

How would you express the solution to the inequality 3y - 2 > 4 in terms of y?

Which of the following is true regarding the linear inequality -2x + y ≥ 5?

What is the primary difference between strict and non-strict inequalities?

Which of the following is an example of a double inequality?

When solving 4x + y < 8 and y = 2, what does it imply about x?

What kind of solutions does the inequality x + y ≤ 10 provide in the context of graphing?

What is the graphical representation of the inequality y < 3x + 1?

If c is a constant, which of the following is not a valid linear inequality in two variables?

Which method is often used to solve systems of linear inequalities?

What happens to the inequality sign when both sides of an inequality are multiplied by -1?

Which of the following pairs satisfies the inequality 2x + 3y < 12?