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