Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 17.4 Inequalities **will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 17.4 Inequalities

**Exercises
**

**Can x be equal to 5?**

Question 1.

x – 3 > 4

Answer:

No, x is not equal to 5 in x – 3 > 4.

Explanation:

x – 3 > 4

=> x > 4 + 3.

=> x > 7.

It means x is greater or equal to 7 but not less than to fulfill the equation.

Question 2.

x + 1 > 3 – 2

Answer:

No, x is not equal to 5 in x + 1 > 3 – 2.

Explanation:

x + 1 > 3 – 2

=> x + 1 > 1

=> x > 1 – 1

=> x > 0.

It means x is equal or greater to zero but not less than to fulfill the equation.

Question 3.

4 + x ≥ 9

Answer:

Yes, x is equal to 5 in 4 + x ≥ 9.

Explanation:

4 + x ≥ 9

=> x ≥ 9 – 4

=> x ≥ 5

It means x is equal to 5 and more than yet not less to fulfill the equation.

Question 4.

4x – 1 < 15

Answer:

No, x is not equal to 5 in 4x – 1 < 15.

Explanation:

4x – 1 < 15

=> 4x < 15 + 1

=> 4x < 16.

=> x < 16 ÷ 4

=> x < 4.

It means x is less than 4 yet not more to fulfill the equation.

Question 5.

x + 12 ≤ 35

Answer:

Yes, x can be 5 in x + 12 ≤ 35.

Explanation:

x + 12 ≤ 35

=> x ≤ 35 – 12

=> x ≤ 23

It means x is less than 24 yet not more to fulfill the equation.

**Show the inequality on a number line.
**Question 6.

x > 0

Answer:

Explanation:

x > 0

=> x is greater than 0.

=> x = 1, 2, 3,4,5,6,7and so on….

Question 7.

x ≥ 2

Answer:

Explanation:

x ≥ 2

=> x is equal to 2 and greater.

=> x = 2, 3, 4, 5, so on…

Question 8.

x < 7

Answer:

Explanation:

x < 7

=> x is less than 7.

=> x = 6, 5,4, 3, 2, 1, 0, -1, so on…