Question

Solve Inequalities: Show all steps and graphon a number line 25) 4x + 7 > 3726) -5x +9 _> 2427) 7x - 28 _> -728) 3x-5 _< 2x-13

Answer 1

25)

4x + 7 > 37

First, we subtract 7 from both sides:

4x+7-7> 37-7

4x>30

Then divide both sides by 4:

4x/4 > 30/4

x>7.5

Graph:

Since 7.5 is not included :

26) -5x +9 _> 24

-5x+9-9_> 24-9

-5x _>15

Since we have to divide by a negative number (-5) the inequality changes direction:

-5x/-5 15/-5

x ≤ -3

27)

7x - 28 _> -7

7x-28+28≥-7+28

7x≥21

x≥21/7

x≥3

28)

3x-5 _< 2x-13

3x-2x ≤-13+5

x ≤ -8