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.
Firstly, we must solve the first inequality:
7w ≤ 8w − 4
7w + 4 ≤ 8w
4 ≤ w
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, ∞).