Question

solve the inequality. then graph the solution set on a number line.
w+3 > -2 and 5w < 35
part 1 of 2
(a) solve the given inequality as much as possible. if there is no solution, click on
o solution\. if the solution is all real numbers, click on \all reals\.

Explanation:

Step1: Solve \( w + 3 > -2 \)

Subtract 3 from both sides: \( w + 3 - 3 > -2 - 3 \), so \( w > -5 \).

Step2: Solve \( 5w < 35 \)

Divide both sides by 5: \( \frac{5w}{5} < \frac{35}{5} \), so \( w < 7 \).

Step3: Find the intersection

The solution to the compound inequality is the intersection of \( w > -5 \) and \( w < 7 \), which is \( -5 < w < 7 \).

Answer:

\( -5 < w < 7 \)