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If 5x - 7 < 3x + 1, what is the range of x?
If 5x - 7 < 3x + 1, what is the range of x?
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Practice Questions
1 question
Q1
If 5x - 7 < 3x + 1, what is the range of x?
x < 4
x > 4
x < 2
x > 2
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5x - 7 < 3x + 1 => 2x < 8 => x < 4.
Questions & Step-by-step Solutions
1 item
Q
Q: If 5x - 7 < 3x + 1, what is the range of x?
Solution:
5x - 7 < 3x + 1 => 2x < 8 => x < 4.
Steps: 6
Show Steps
Step 1: Start with the inequality: 5x - 7 < 3x + 1.
Step 2: To isolate x, first subtract 3x from both sides: 5x - 3x - 7 < 1.
Step 3: This simplifies to: 2x - 7 < 1.
Step 4: Next, add 7 to both sides to get rid of -7: 2x < 1 + 7.
Step 5: This simplifies to: 2x < 8.
Step 6: Finally, divide both sides by 2 to solve for x: x < 4.
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