Solutions for Inequalities

Write an inequality for the following word problem: Twice a number decreased by 5 is greater than 7.

• 2x + 5 > 7

• 2x - 5 < 7

• 2x - 5 = 7

• 2x - 5 > 7

Graph the inequality -3 < x ≤ 5 on a number line.

• -3 ≤ x < 5

• -3 < x < 5

• -3 ≤ x ≤ 5

• -3 ≤ x ≤ 5

Graph the inequality 2x + 4 > 10 on a number line.

• x < 3

• x > 10

• x > 3

• x = 3

Solve the inequality 3(2x + 1) ≥ 15.

• x > 10

• x ≥ 2

• x = 5

• x ≤ 2

Identify the solutions to the inequality 4x + 3 ≤ 15.

• x < 3

• x ≤ 3

• x = 15

• x > 3

Translate the inequality 'The product of a number and 5 is less than or equal to 25' into a mathematical inequality.

• 5x ≤ 25

• 5x = 25

• 5x + 25

• 5x > 25

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

How many solutions are there to this inequality? 3x > 30

• An infinite number of solutions.

• Just one solution.

• 2 solutions

• No solutions

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Match the graph with its inequality.

• –3/7 > j

• –3/7 < j

• –3/7 ≥ j

• –3/7 ≤ j