Question

Please help me with this question and select the best answer

Answer 1

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`