Answer:
x ≤ 1, x < -1
Step-by-step explanation:
2(1 + 5x) + 2(1 + 8x) ≤ 30
Distribute constants into the parenthesis:
2+10x + 2 + 16x ≤ 30
Combine like terms
26x + 4 ≤ 30
Subtract 4 from both sides:
26x + 4 - 4 ≤ 30 - 4
26x ≤ 26
Divide both sides by 26 to solve for x:
26x/26 ≤ 26/26
x ≤ 1
4(8x + 5) < -4 - 8
Divide both sides by 4:
[4(8x + 5)] / 4 < (-4 - 8)/4
8x + 5 < -12/4
8x + 5 < -3
Subtract 5 from both sides:
8x + 5 - 5 < -3 - 5
8x < -8
Divide both sides by 8 to solve for x:
8x/8 < -8/8
x < -1
Attached is a screenshot of the graphed inequalities. Just use it as a reference for your homework.
Please mark my answers as the Brainliest, if you find this helpful :)
