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iren [92.7K]
3 years ago
10

Solve for x: 4 − (x + 2) < −3(x + 4)

Mathematics
1 answer:
jeyben [28]3 years ago
8 0
4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
 <u>  +3x        +3x      </u>
<u />2 + 2x    <   -12
<u>-2                   -2    
</u>      2x     < -14
<u /> <u>     ÷2          ÷2    </u>
        x      < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12  the inequality is true.
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