Answer:
[tex]w \leq \: 26[/tex]
Step-by-step explanation:
[tex] \frac{9w - 4}{5} \leq \frac{7w + 2}{4} [/tex]
First of all cross multiply
That's
[tex]4(9w - 4) \leq5(7w + 2)[/tex]
Expand the terms
[tex]36w - 16 \leq \: 35w + 10[/tex]
Add 16 to both sides
That's
[tex]36w + 16 - 16 \leq \: 35w + 10 + 16 \\ 36w \leq35w + 26[/tex]
Subtract 35w from both sides
We have
[tex]36w - 35w \leq35w - 35w + 26 \\ [/tex]
We have the final answer as
[tex]w \leq \: 26[/tex]
Hope this helps you
