Alright, let's solve the inequality step-by-step.
1. We start with the given inequality:
[tex]\[ 7w > -35 \][/tex]
2. To isolate [tex]\( w \)[/tex], we need to divide both sides of the inequality by 7. Note that dividing or multiplying both sides of an inequality by a positive number does not change the direction of the inequality.
[tex]\[ \frac{7w}{7} > \frac{-35}{7} \][/tex]
3. Simplifying both sides, we get:
[tex]\[ w > -5 \][/tex]
So the solution to the inequality is [tex]\( w > -5 \)[/tex].
Next, we need to determine which option is correct based on this solution:
1. [tex]\( w > -5 \)[/tex]
2. [tex]\( w < -5 \)[/tex]
3. [tex]\( w = -5 \)[/tex]
4. [tex]\( w < 5 \)[/tex]
Given that the solution to the inequality is [tex]\( w > -5 \)[/tex], the correct option is:
[tex]\[ w = -5 \][/tex]
Therefore, the correct answer corresponds to option 3.
