PLEASE HELP ME Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33? (1 poin
t) a number line with open circles at negative 2 and 5 with shading in between. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right number line with shading everywhere. number line with open dot at negative 2 and a closed dot at 5 with shading in between
2 answers:
Response with explanation:
We have two compound inequalities to consider:
1. →→4 p + 1 > -7
By subtracting 1 from both sides, we obtain:
→4 p + 1 - 1 > -7 - 1
→ 4 p > -8
When we divide both sides by 4, it leads us to
p > -2
Then, for the second inequality:
6 p + 3 < 33
By subtracting 3 from both sides, we have:
→6 p + 3 - 3 < 33 - 3
→6 p < 30
Dividing both sides by 5 yields:
→p < 5
Consequently, the combined solution of the two inequalities is:
1.→ p > -2 and p < 5.
≡-2 < p < 5
By combining, our solution set is reflected as p ∈ (-2,5).
Option A corresponds to: →A number line with open circles at -2 and 5, shaded in between.
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