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Find the solution set for the inequality -2x + 5 > 1.
Find the solution set for the inequality -2x + 5 > 1.
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Practice Questions
1 question
Q1
Find the solution set for the inequality -2x + 5 > 1.
x < 2
x > 2
x < 3
x > 3
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-2x + 5 > 1 => -2x > -4 => x < 2.
Questions & Step-by-step Solutions
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Q
Q: Find the solution set for the inequality -2x + 5 > 1.
Solution:
-2x + 5 > 1 => -2x > -4 => x < 2.
Steps: 5
Show Steps
Step 1: Start with the inequality -2x + 5 > 1.
Step 2: To isolate the term with x, subtract 5 from both sides. This gives you -2x > 1 - 5.
Step 3: Simplify the right side. 1 - 5 equals -4, so now you have -2x > -4.
Step 4: Next, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -2x > -4 becomes x < 2.
Step 5: The solution set is x < 2.
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