Question

-3 - 4x ≤ 21

Please help!! The first time I got this answer I got x≤ 5.25 but i know it's not right.
I know there are smarties out there. Please help!!

Answer 1

lol

Explanation:

Yeah i have no clue but good luck

Answer 2

`-3-4x\leq 21 \\~\\-3-4x+3\leq 21+3 \\~\\-4x \leq 24`

When you multiply both sides by a negative number, you have to flip the inequality.

`-4x\cdot \left(-(1)/(4)\right) \geq24\cdot \left(-(1)/(4)\right) \\~\\x \geq-6`

You could also solve by doing this:

`-4x \leq 24 \\~\\-4x +(4x-24) \leq 24 +(4x-24) \\~\\-24 \leq 4x \\~\\-6\leq x`

If -6 is less than or equal to x, then x is greather than or equal to -6.