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If 5x - 7 < 3x + 1, what is the range of x?
Practice Questions
Q1
If 5x - 7 < 3x + 1, what is the range of x?
x < 4
x > 4
x < 2
x > 2
Questions & Step-by-Step Solutions
If 5x - 7 < 3x + 1, what is the range of x?
Correct Answer: x < 4
Steps
Concepts
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.
Inequalities
– Understanding how to manipulate and solve inequalities involving variables.
Algebraic Manipulation
– Skills in rearranging equations and isolating variables.
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