# Graphing inequalities and solving equations

Section 2.3

Solve for specified variable

2. W = gh: for g

6. 2x + 3y = 17; for y

10. y = mx + b; for x

14. A = 5H (b + B); for b

Section 2.4

2. {x|x ≥ - 7}

6. {x|-7/8 ≥ x}

10. {x|-3 ≥ x ≥ -7}

Graph the solution set and write it in interval notation

18. x + 2 ≤ -1

22. 7x - 1 ≥ 6x - 1

26. 5/6x ≥ -8

30. -4x ≥ 15

Solve, write the solution using interval notation

34. 8 - 5x ≤ 23

38. 5(x+ 4) ≤ 4(2x + 3)

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#### Solution Preview

Section 2.3

Solve for specified variable

2. W = gh: for g

divide each side by h, we will get

W/h = gh/h

=> W/h = g

Answer: g = W/h

6. 2x + 3y = 17; for y

Bring 2x to right side, we will get

3y = 17 - 2x

Divide each side by 3, we will get

y = (17-2x)/3

10. y = mx + b; for x

subtract b from each side, we will get

y - b = mx

OR

mx = y - b

divide each side by m, we will get

x = (y -b)/m

14. A ...

#### Solution Summary

The expert graphs inequalities and solving equations. A step by step detailed solution is provided.