One-Variable Inequalities Preview Page 154

Match the symbol with its meaning.

• less than or equal to

• equal to

• greater than or equal to

• less than

• greater than

Answer explanation

The symbol ">" represents "greater than". It indicates that the value on the left is larger than the value on the right, distinguishing it from other symbols like "<" (less than) and "\leq" (less than or equal to).

Tags

CCSS.6.EE.B.8

Which of the following inequalities represents "x is greater than or equal to -5"?

Answer explanation

The inequality "x is greater than or equal to -5" is correctly represented by x \geq -5. This means x can be -5 or any number greater than -5, which matches the statement.

Tags

CCSS.6.EE.B.8

Which of the following inequalities represents "x is less than or equal to 10"?

Answer explanation

The inequality "x is less than or equal to 10" is correctly represented by x ≤ 10. This indicates that x can be any value up to and including 10, making the correct choice x ≤ 10.

Tags

CCSS.6.EE.B.8

Answer explanation

To solve the inequality 3x - 5 > 7, add 5 to both sides to get 3x > 12. Then, divide by 3 to find x > 4. Thus, the solution set is x > 4, which matches the correct answer.

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality 5x + 4 < 19, subtract 4 from both sides to get 5x < 15. Then, divide by 5 to find x < 3. Thus, the correct choice is x < 3.

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality x - 7 ≥ 2, add 7 to both sides: x ≥ 9. Thus, the solution for x is x ≥ 9, which corresponds to the answer choice x ≥ 9.

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality 4x - 1 ≤ 15, add 1 to both sides: 4x ≤ 16. Then, divide by 4: x ≤ 4. Thus, the correct answer is x ≤ 4.

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality \(2x + 6 < 14\), subtract 6 from both sides to get \(2x < 8\). Then, divide by 2 to find \(x < 4\). Thus, the correct answer is \(x < 4\).

Tags

CCSS.7.EE.B.4B

Answer explanation

To solve the inequality -2x + 3 ≤ 7, subtract 3 from both sides to get -2x ≤ 4. Then, divide by -2, reversing the inequality sign, resulting in x ≤ 2. Thus, the correct answer is x ≤ 2.

Tags

CCSS.7.EE.B.4B

• True

• False