Question

−8x+3≥27 AND−13x+5≥57

Answer 1

A

Explanation:

Answer 2

`x \leq -4`

Explanation:

`-8x+3\geq 27 and -13x+5\geq 57`

LEts solve each inequality separately. then we find the intersection of both solutions.

`-8x+3\geq 27`

Subtract 3 on both sides

`-8x\geq 24`

Divide both sides by
`-8`, change the inequality symbol when we divide by negative number

`x \leq -3`

Now solve the other inequality

`-13x+5\geq 57`

Subtract 5 on both sides

`-13x\geq 52`

Now divide both sides by
`-13`

`x \leq -4`

Now we take the intersection of
`x \leq -3` and
`x \leq -4`

for
`x \leq -3`, we shade the number line to the left

`x \leq -4`, shade the number line to the left

Intersection of both graph is
`x \leq -4`