50 PTS AND 25 MORE IF U GET BRAIN HELP Solve the following compound inequality: −2(x + 4) + 10 < x − 7 or −2x + 9 > 3(x + 8) A: x < 3 or x > −3 B: x > 3 or x < −3 C: x < 7 or x > −3 D: x > 7 or x < −3

2 answers
Question:

50 PTS AND 25 MORE IF U GET BRAIN HELP
Solve the following compound inequality: −2(x + 4) + 10 < x − 7 or −2x + 9 > 3(x + 8)
A: x < 3 or x > −3
B: x > 3 or x < −3
C: x < 7 or x > −3
D: x > 7 or x < −3

Answers

Answer:BStep-by-step explanation:-2(x+4) +10 < x - 7 -2x - 8 + 10 < x - 7-3x < -9 x > 3 -2x + 9 > 3(x + 8)-2x + 9 > 3x +24-5x > 15x < -3

#1[tex]\\ \sf{:}\!\implies -2(x+4)+10<x-7[/tex][tex]\\ \sf{:}\!\implies -2x-8+10<x-7[/tex][tex]\\ \sf{:}\!\implies x+2x>2+7[/tex][tex]\\ \sf{:}\!\implies 3x>9[/tex][tex]\\ \sf{:}\!\implies x>\dfrac{9}{3}[/tex][tex]\\ \sf{:}\!\implies x>3[/tex]#2[tex]\\ \sf{:}\!\implies -2x+9>3(x+8)[/tex][tex]\\ \sf{:}\!\implies -2x+9>3x+24[/tex][tex]\\ \sf{:}\!\implies -2x-3x>24-9[/tex][tex]\\ \sf{:}\!\implies -5x>15[/tex][tex]\\ \sf{:}\!\implies x>\dfrac{15}{-5}[/tex][tex]\\ \sf{:}\!\implies x>-3[/tex]

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