Answer:
Hello There!
[tex] \huge \dag \sf \green{question}[/tex]
[tex]3(x - 5) \leqslant x - 8[/tex]
[tex] \rule{200pt}{5pt}[/tex]
[tex] \huge \hookrightarrow \sf \blue{answer}[/tex]
[tex] \rule{200pt}{5pt}[/tex]
Use the distributive property to multiply 3 by x-5
[tex]3x - 15 \leqslant x - 8 [/tex]
Subtract x from both sides
[tex]3x - 15 - x \leqslant 8[/tex]
Combine 2x and -x to get 2x
[tex]2x - 15 \leqslant - 8[/tex]
Add 15 to both sides
[tex]2x \leqslant - 8 + 15[/tex]
Add -8 and 15 to get 7
[tex]2x \leqslant 7[/tex]
Now divide both the sides by 2
As 2 is > 0, the inequality direction remains the same.
[tex]x \leqslant \frac{7}{2} \\ [/tex]
[tex] \rule{200pt}{5pt}[/tex]
Hope it helps you from my side
:)
