Question

A solution to the inequality 3.75 – 3x ≤ 6.

Answer 1

x
`\geq` -0.75

Explanation:

3.75 - 3x
`\leq \\` 6

1. Subtract 3.75 from both sides.

3.75 - 3x - 3.75
`\leq \\` 6 - 3.75

2. Simplify.

-3x
`\leq \\` 2.25

3. Multiply both sides by -1.

(-3x)(-1)
`\geq` 2.25(-1)

4. Simplify.

3x
`\geq` -2.25

5. Divide both sides by 3.

3x/3
`\geq` -2.25/3

6. Simply.

x
`\geq` -0.75

Answer 2

x ≥ -0.75

Explanation:

3.75 - 3x ≤ 6

Subtract 3.75 on both sides.

- 3x ≤ 6 - 3.75

- 3x ≤ 2.25

Divide both sides with -3.

x ≥ 2.25/-3

x ≥ -0.75