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Solve each compound inequality

f-4<5 and f-4 ≥ 2
y-1 ≥7 or y+3<-1
-5<3p+7≤22

User Caktux
by
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2 Answers

6 votes
The compound inequality is -4

User Alinoz
by
7.7k points
3 votes

To solve each compound inequality, we can break it into two separate inequalities and solve each one separately.

For the first compound inequality, f-4<5 and f-4 ≥ 2, we can break it into two separate inequalities: f-4<5 and f-4>2. Solving these inequalities separately, we get:

f-4<5

f<9

f-4>2

f>6

Therefore, the solution to the compound inequality is 6<f<9.

For the second compound inequality, y-1 ≥7 or y+3<-1, we can break it into two separate inequalities: y-1>=7 and y+3<-1. Solving these inequalities separately, we get:

y-1>=7

y>=8

y+3<-1

y<-4

Therefore, the solution to the compound inequality is y<-4 or y>=8.

For the third compound inequality, -5<3p+7≤22, we can break it into two separate inequalities: -5<3p+7 and 3p+7≤22. Solving these inequalities separately, we get:

-5<3p+7

3p>-12

p>-4

3p+7≤22

3p≤15

p≤5

Therefore, the solution to the compound inequality is -4<p≤5.

User Xushao
by
7.8k points

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