Question

F – 4 ≤ 9 for f. solve for the

Answer 1

f={∞,13)

Explanation:

f - 4 ≤ 9

f - 4-9 ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9 √

(f>13) f-4 ≤9

Find a number less than 13

f=12

12-4 ≤9

8≤9 √

(f<13) f-4 ≤9

Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×

Answer 2

f>36

Explanation:

9

<

f

4

Multiply both sides by

4

.

9

⋅

4

<

f

4

⋅

4

Simplify.

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36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

∞

)