Question

I need help, if you could that would be awesome.

Answer 1

x ≥ 1

Explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

• -4(2x + 1) ≤ 3(x - 5)
• -8x - 4 ≤ 3x - 15

Step 2 : Bring x terms to one side and numerical terms to the other

• -8x - 4 ≤ 3x - 15
• -11x ≤ -11

Step 3 : Divide by -11 on both sides

• Remember when dividing by a negative number, the sign always changes to become the opposite
• -11x ≤ -11
• x ≥ 1

Solution

x ≥ 1

Answer 2

`\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)`

`\\ \rm\rightarrowtail -8x-4\leqslant 3x-15`

`\\ \rm\rightarrowtail -11x\leqslant -11`

`\\ \rm\rightarrowtail x\geqslant 1`