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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.

 Oct 24, 2023
 #1
avatar+30 
+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, ∞).

 Oct 24, 2023

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