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.

notequal Oct 24, 2023

#1**+1 **

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, ∞).

knotW Oct 24, 2023