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Determine the solution set for the inequality 7x - 4 ≥ 10.
Determine the solution set for the inequality 7x - 4 ≥ 10.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 7x - 4 ≥ 10.
x ≥ 2
x < 2
x > 2
x ≤ 2
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Add 4 to both sides: 7x ≥ 14. Then divide by 7: x ≥ 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 7x - 4 ≥ 10.
Solution:
Add 4 to both sides: 7x ≥ 14. Then divide by 7: x ≥ 2.
Steps: 5
Show Steps
Step 1: Start with the inequality 7x - 4 ≥ 10.
Step 2: Add 4 to both sides of the inequality to eliminate the -4. This gives you 7x - 4 + 4 ≥ 10 + 4.
Step 3: Simplify both sides. The left side becomes 7x and the right side becomes 14. So now you have 7x ≥ 14.
Step 4: Now, divide both sides of the inequality by 7 to solve for x. This gives you x ≥ 14 / 7.
Step 5: Simplify the right side. 14 divided by 7 is 2. So now you have x ≥ 2.
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