+4 Consider the following inequality problem.
7w≤8w−4 or 3−5w>33
Step 3 of 4 :
Using your answers from the previous steps, solve the overall inequality problem and express your answer in interval notation. Use decimal form for numerical values.
+30 Firstly, we must solve the first inequality:
7w ≤ 8w − 4
7w + 4 ≤ 8w
4 ≤ w
The second:
3 − 5w > 33
−5w > 30
w < -6 (remember to flip the sign when dividing by a negative)
Now, express both inequalities in interval notation and join them (because either one of the intervals will make the statement true, as signalled by "or"). This gives our final answer of (-∞, -6) ∪ [4, ∞).
