Question

Graph the solution set to this inequality 3x -12 >_ 7x+4

Answer 1

x
`\leq` -4

Explanation:

1. 3x-12
`\geq` 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x
`\geq` 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x
`\geq` 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x
`\geq` -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x
`\leq` -4