Exercise 15 Page 168

Practice makes perfect

a By substituting n=0.5 into the inequality, we can check whether the inequality holds true.

6-n/n≥ 11

n= 0.5

6- 0.5/0.5? ≥ 11

Subtract terms

5.5/0.5? ≥ 11

Calculate quotient

11 ≥ 11 ✓

Since 11 is equal to 11, the inequality holds true. Therefore, n=0.5 is a solution to the inequality.

b Let's do the same thing again and substitute n=2 into the inequality.

6-n/n≥ 11

n= 2

6- 2/2? ≥ 11

Subtract terms

4/2? ≥ 11

Calculate quotient

2≱ 11 *

We know that 2 is not greater than or equal to 11. Therefore, n=2 is not a solution to the inequality.

c Let's substitute n=4 into the inequality and check its validity.

6-n/n≥ 11

n= 4

6- 4/4? ≥ 11

Subtract terms

2/4? ≥ 11

Calculate quotient

1/2≱ 11 *

Again, 12 is not greater than or equal to 11. Hence, n=4 is not a solution to the inequality.

Lesson Check p.167

Practice and Problem-Solving Exercises p.168-170

Standardized Test Prep p.170

Mixed Review p.170

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