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Determine the solution set for the inequality 5x - 7 < 3.
Determine the solution set for the inequality 5x - 7 < 3.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 5x - 7 < 3.
x < 2
x > 2
x ≤ 2
x ≥ 2
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5x - 7 < 3 => 5x < 10 => x < 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 5x - 7 < 3.
Solution:
5x - 7 < 3 => 5x < 10 => x < 2.
Steps: 5
Show Steps
Step 1: Start with the inequality: 5x - 7 < 3.
Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 5x < 3 + 7.
Step 3: Simplify the right side: 3 + 7 = 10. Now you have: 5x < 10.
Step 4: Divide both sides of the inequality by 5 to solve for x. This gives you: x < 10 / 5.
Step 5: Simplify the right side: 10 / 5 = 2. Now you have: x < 2.
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