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Find the solution set for the inequality 2x - 7 < 3.
Find the solution set for the inequality 2x - 7 < 3.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 2x - 7 < 3.
x < 5
x > 5
x < 4
x > 4
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Add 7 to both sides: 2x < 10. Then divide by 2: x < 5.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 2x - 7 < 3.
Solution:
Add 7 to both sides: 2x < 10. Then divide by 2: x < 5.
Steps: 5
Show Steps
Step 1: Start with the inequality 2x - 7 < 3.
Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 2x < 3 + 7.
Step 3: Simplify the right side. 3 + 7 equals 10, so now you have 2x < 10.
Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you x < 10 / 2.
Step 5: Simplify the right side. 10 divided by 2 equals 5, so now you have x < 5.
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