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41 votes
41 votes
Solve the compound inequality.4x-5<19or2x - 2<4Write the solution in interval notation.If there is no solution, enter Ø.Please write answer in proper formatting. Hey

Solve the compound inequality.4x-5<19or2x - 2<4Write the solution in interval-example-1
User Lefty
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1 Answer

13 votes
13 votes

\begin{gathered} 4x-5<19 \\ 4x<19+5 \\ 4x<24 \\ x<(24)/(4) \\ x<6 \end{gathered}
\begin{gathered} 2x-2<4 \\ 2x<4+2 \\ 2x<6 \\ x<(6)/(2) \\ x<3 \end{gathered}

Hence, the solution in interval notation is given by:


(-\infty,3)\cup(-\infty,6)=(-\infty,6)

User Bob Baddeley
by
2.6k points
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