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Determine the solution set for the inequality 5 - 2x ≤ 3.
Practice Questions
Q1
Determine the solution set for the inequality 5 - 2x ≤ 3.
x < 1
x > 1
x ≤ 1
x ≥ 1
Questions & Step-by-Step Solutions
Determine the solution set for the inequality 5 - 2x ≤ 3.
Correct Answer: x ≥ 1
Steps
Concepts
Step 1: Start with the inequality: 5 - 2x ≤ 3.
Step 2: Subtract 5 from both sides to isolate the term with x: -2x ≤ 3 - 5.
Step 3: Simplify the right side: -2x ≤ -2.
Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 1.
Inequalities
– Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation
– Applying operations to isolate the variable correctly while considering the direction of the inequality.
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