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22-10-2020
Mathematics

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What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?

What is the solution of the inequality 7x 4 lt 2x5 3x 9 class=

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emmalioneill emmalioneill

22-10-2020

Answer:

x< -8.125

Step-by-step explanation:

7(x+4) < 2(x-5) -3(x+9)

distribute 7, 2, -3 to the parentheses to the right

7x+28<2x-10-3x-27

add like terms

7x+28<x-37

add x to 7x and subtract -28 to -37

8x<-65

divide both sides by 8

x<-8.125 or (-65/8)

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