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Find the solution set for the inequality -3x + 1 ≤ 4.
Find the solution set for the inequality -3x + 1 ≤ 4.
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Practice Questions
1 question
Q1
Find the solution set for the inequality -3x + 1 ≤ 4.
x ≥ -1
x ≤ -1
x ≥ 1
x ≤ 1
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-3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality -3x + 1 ≤ 4.
Solution:
-3x + 1 ≤ 4 => -3x ≤ 3 => x ≥ -1.
Steps: 5
Show Steps
Step 1: Start with the inequality -3x + 1 ≤ 4.
Step 2: Subtract 1 from both sides to isolate the term with x. This gives you -3x ≤ 4 - 1.
Step 3: Simplify the right side. Now you have -3x ≤ 3.
Step 4: Divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign. So it becomes x ≥ -1.
Step 5: Write the solution set. The solution is x is greater than or equal to -1.
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