1 Answer

Kjprice · Answer 1 · 2023-10-15T01:14:11+0000

Given the inequality

$19x+29\leq10x+83$

Subtract 10x on both sides.

$\begin{gathered} 19x+29-10x\leq10x+83-10x \\ 9x+29\leq83 \end{gathered}$

Subtract 29 on both sides.

$\begin{gathered} 9x+29-29\leq83-29 \\ 9x\leq54 \end{gathered}$

Divide by 9 on both sides.

$x\leq(54)/(9)=6$

In interval notation, it can be written as

$(-\infty,6\rbrack$

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