Question: If 7 - 3x ≥ 1, what is the solution for x?
Options:
x ≤ 2
x ≥ 2
x ≤ 3
x ≥ 3
Correct Answer: x ≥ 2
Solution:
7 - 3x ≥ 1 => -3x ≥ -6 => x ≤ 2.
If 7 - 3x ≥ 1, what is the solution for x?
Practice Questions
Q1
If 7 - 3x ≥ 1, what is the solution for x?
x ≤ 2
x ≥ 2
x ≤ 3
x ≥ 3
Questions & Step-by-Step Solutions
If 7 - 3x ≥ 1, what is the solution for x?
Step 1: Start with the inequality: 7 - 3x ≥ 1.
Step 2: Subtract 7 from both sides to isolate the term with x: -3x ≥ 1 - 7.
Step 3: Simplify the right side: -3x ≥ -6.
Step 4: Divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: x ≤ 2.
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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