Inequalities

Draw a greater than symbol.

Draw a less than symbol.

Draw a greater than or equal to symbol.

Draw a less than or equal to symbol.

Select the answer that makes the inequality true.

x > 3

• x = 2

• x = 7

• x = -3

• x = -5

Answer explanation

To satisfy the inequality x > 3, x must be greater than 3. Among the choices, x = 7 is the only value that meets this condition, as 7 is greater than 3. The other options (2, -3, -5) do not satisfy the inequality.

Choose the value of x that satisfies the inequality.

x < -2

• x = 0

• x = -1

• x = -3

• x = 2

Answer explanation

To satisfy the inequality x < -2, we need a value less than -2. Among the choices, x = -3 is the only value that meets this condition, as -3 is less than -2. The other options do not satisfy the inequality.

Select the number that makes the inequality true.

x ≥ 5

• x = 4

• x = 5

• x = 3

• x = 0

Answer explanation

The inequality x ≥ 5 means x must be 5 or greater. Among the choices, only x = 5 satisfies this condition, as 4, 3, and 0 are all less than 5.

Identify the value of x that satisfies the inequality.

x ≤ 0

• x = 1

• x = -1

• x = 2

• x = 3

Answer explanation

The inequality x ≤ 0 means x can be any value less than or equal to 0. Among the choices, x = -1 is the only value that satisfies this condition, as it is less than 0.

Select the value of x that makes the inequality true.

x ≤ 5

• x = 5

• x = 6

• x = 7

• x = 8

Answer explanation

The inequality x ≤ 5 means x can be any value less than or equal to 5. The only choice that satisfies this condition is x = 5, as 6, 7, and 8 are greater than 5.

Select the value of x that makes this inequality true.

−3 ≤ x < 4

• x = -4

• x = -3

• x = 4

• x = 5

Answer explanation

The inequality −3 ≤ x < 4 means x can be -3 or any value greater than -3 but less than 4. The only choice that satisfies this is x = -3, as -4 is too low and 4 and 5 are too high.