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What is the solution to the inequality 7x + 5 < 2x + 20?
What is the solution to the inequality 7x + 5 < 2x + 20?
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Practice Questions
1 question
Q1
What is the solution to the inequality 7x + 5 < 2x + 20?
x < 3
x > 3
x < 4
x > 4
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7x + 5 < 2x + 20 => 5x < 15 => x < 3.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the solution to the inequality 7x + 5 < 2x + 20?
Solution:
7x + 5 < 2x + 20 => 5x < 15 => x < 3.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x + 5 < 2x + 20.
Step 2: To get all the x terms on one side, subtract 2x from both sides: 7x - 2x + 5 < 20.
Step 3: This simplifies to: 5x + 5 < 20.
Step 4: Next, subtract 5 from both sides to isolate the term with x: 5x < 20 - 5.
Step 5: This simplifies to: 5x < 15.
Step 6: Finally, divide both sides by 5 to solve for x: x < 15 / 5.
Step 7: This gives us the final solution: x < 3.
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