To solve the inequality for [tex]\( w \)[/tex]:
[tex]\[
-4 + 5w \leq -29
\][/tex]
we will go through the following steps:
1. Isolate the term involving [tex]\( w \)[/tex]:
To isolate [tex]\( 5w \)[/tex], add 4 to both sides of the inequality:
[tex]\[
-4 + 5w + 4 \leq -29 + 4
\][/tex]
Simplify:
[tex]\[
5w \leq -25
\][/tex]
2. Solve for [tex]\( w \)[/tex]:
Divide both sides by 5:
[tex]\[
w \leq \frac{-25}{5}
\][/tex]
Simplifying the right side:
[tex]\[
w \leq -5
\][/tex]
Therefore, the solution to the inequality [tex]\( -4 + 5w \leq -29 \)[/tex] is:
[tex]\[
w \leq -5
\][/tex]
