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#17 pls help answer

4x + 22 > -2(14+3x)

#17 pls help answer 4x + 22 > -2(14+3x)-example-1

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4x+22~ > ~-2(14+3x)\implies 4x+22~ > ~-28-6x\implies 10x+22 > -28 \\\\\\ 10x > -50\implies x > \cfrac{-50}{10}\implies x > -5

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#17 pls help answer 4x + 22 > -2(14+3x)-example-1
User Sanel
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To solve this inequality, you can start by expanding the expression on the right side of the inequality:

4x + 22 > -2(14) -2(3x)
4x + 22 > -28 -6x

Next, you can combine like terms on the left and right side of the inequality:

10x + 22 > -28

Then, you can subtract 22 from both sides of the inequality:

10x > -50

Finally, you can divide both sides of the inequality by 10 to find the solution:

x > -5

Therefore, the solution to the inequality is x > -5.
User Andrei Rosu
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