Question

I can't remember how to solve for inequalities or graph them, can someone help me? (This is a repost with a picture instead)

Answer 1

see below

Explanation:

1. -2/3x
`\geq` 7

first, we need to divide -2/3 from x and 7 to get x alone, we also need to flip the inequality sign since we are dividing by a negative

x
`\leq` 21/2

or x
`\leq` 10 1/2

2. 32 > 23 - x

first, rearrange the inequality

32 + x > 23

subtract 32 from both sides

x > -9

3. 2 (x + 6) < 10

divide both sides by 2

x + 6 < 5

subtract 6 from both sides

x < -1

4. 15 - 4x
`\leq` 3x - 6

rearrange the equation

-4x + 3x
`\leq` - 15 - 6

-7x
`\leq` - 21

multiply both sides by -1 and reverse the inequality sign

7x
`\geq` 21

divide both by 7

x
`\geq` 3

im super sorry but im not sure how to help you with the graphing :(