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Solve and graph each compound inequality.-3x + 4 < 19 and -3x + 4 > -5

User How
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1 Answer

9 votes
9 votes

Solution:

The inequality is given below as


-3x+4<19,-3x+4>-5

Step 1:

Solve the first inequality given as


-3x+4<19

Subtract 4 from both sides


\begin{gathered} -3x+4-4<19-4 \\ -3x<15 \end{gathered}

Divide both sides by -5 (note: the inequality sign will be reversed)


\begin{gathered} (-3x)/(-3)<(15)/(-3) \\ x>-5 \end{gathered}

Hence,

The graph of the inequality will be

Step 2:

Solve the second inequality given as


-3x+4>-5

Subtract 4 from both sides


\begin{gathered} -3x+4>-5 \\ -3x+4-4>-5-4 \\ -3x>-9 \end{gathered}

Divide both sides by -3( note: the inequality sign will be reversed)


\begin{gathered} (-3x)/(-3)>(-9)/(-3) \\ x<3 \end{gathered}

Hence,

The graph of the inequality will be

Solve and graph each compound inequality.-3x + 4 < 19 and -3x + 4 > -5-example-1
Solve and graph each compound inequality.-3x + 4 < 19 and -3x + 4 > -5-example-2
User Hrust
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