naenjay71816 naenjay71816

22-03-2018
Mathematics

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hat is the solution to the compound inequality 5x + 7 > −8 and 3x + 7 ≤ 19?

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sqdancefan sqdancefan

22-03-2018

The first inequality has solution
.. 5x +7 > -8
.. 5x > -15 . . . . subtract 7
.. x > -3 . . . . . . divide by 5

The second inequality has solution
.. 3x +7 ≤ 19
.. 3x ≤ 12 . . . . . subtract 7
.. x ≤ 4 . . . . . . . divide by 3

The solution to the compound inequality is
.. -3 < x ≤ 4

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