Question: Solve the inequality -5x + 3 < 2. What is the solution?
Options:
x > 1
x < 1
x ≤ 1
x ≥ 1
Correct Answer: x < 1
Solution:
-5x + 3 < 2 => -5x < -1 => x > 1.
Solve the inequality -5x + 3 < 2. What is the solution?
Practice Questions
Q1
Solve the inequality -5x + 3 < 2. What is the solution?
x > 1
x < 1
x ≤ 1
x ≥ 1
Questions & Step-by-Step Solutions
Solve the inequality -5x + 3 < 2. What is the solution?
Correct Answer: x > 1
Step 1: Start with the inequality -5x + 3 < 2.
Step 2: Subtract 3 from both sides to isolate the term with x. This gives you -5x < 2 - 3.
Step 3: Simplify the right side. 2 - 3 equals -1, so now you have -5x < -1.
Step 4: To solve for x, divide both sides by -5. Remember, when you divide by a negative number, you must flip the inequality sign.
Step 5: Dividing -1 by -5 gives you x > 1.
Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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