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Find the solution for the inequality 2x + 5 > 3x - 1.
Find the solution for the inequality 2x + 5 > 3x - 1.
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Practice Questions
1 question
Q1
Find the solution for the inequality 2x + 5 > 3x - 1.
x < 6
x > 6
x < 4
x > 4
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2x + 5 > 3x - 1 => 5 + 1 > 3x - 2x => 6 > x => x < 6.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution for the inequality 2x + 5 > 3x - 1.
Solution:
2x + 5 > 3x - 1 => 5 + 1 > 3x - 2x => 6 > x => x < 6.
Steps: 6
Show Steps
Step 1: Start with the inequality: 2x + 5 > 3x - 1.
Step 2: To isolate x, first get all the x terms on one side. Subtract 2x from both sides: 5 > 3x - 2x - 1.
Step 3: Simplify the left side: 5 > x - 1.
Step 4: Now, add 1 to both sides to isolate x: 5 + 1 > x.
Step 5: Simplify the left side: 6 > x.
Step 6: This can be rewritten as x < 6.
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