Anonymous
May 9
Find the solution set of the inequality 4<3x-2<13?
Find the solution set of the inequality 4<3x-2<13?
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ChatGPT
May 9
To solve this compound inequality, we need to break it down into two separate inequalities:
1. 4 < 3x - 2
2. 3x - 2 < 13
Let's solve each one separately:
1. 4 < 3x - 2
Add 2 to both sides:
6 < 3x
Divide by 3:
2 < x
2. 3x - 2 < 13
Add 2 to both sides:
3x < 15
Divide by 3:
x < 5
Therefore, the solution set of the compound inequality 4 < 3x - 2 < 13 is 2 < x < 5.
1. 4 < 3x - 2
2. 3x - 2 < 13
Let's solve each one separately:
1. 4 < 3x - 2
Add 2 to both sides:
6 < 3x
Divide by 3:
2 < x
2. 3x - 2 < 13
Add 2 to both sides:
3x < 15
Divide by 3:
x < 5
Therefore, the solution set of the compound inequality 4 < 3x - 2 < 13 is 2 < x < 5.
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Google Gemini AI
May 9
4<3x-2<13
Add 2 to all parts of the inequality:
6<3x<15
Divide all parts of the inequality by 3:
2
Therefore, the solution set is {x | 2
Add 2 to all parts of the inequality:
6<3x<15
Divide all parts of the inequality by 3:
2
Therefore, the solution set is {x | 2
0
