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Determine the solution set for the inequality 2x + 3 > 7.
Practice Questions
Q1
Determine the solution set for the inequality 2x + 3 > 7.
x < 2
x > 2
x < 3
x > 3
Questions & Step-by-Step Solutions
Determine the solution set for the inequality 2x + 3 > 7.
Correct Answer: x > 2
Steps
Concepts
Step 1: Start with the inequality: 2x + 3 > 7.
Step 2: Subtract 3 from both sides to isolate the term with x: 2x + 3 - 3 > 7 - 3.
Step 3: Simplify the left and right sides: 2x > 4.
Step 4: Divide both sides by 2 to solve for x: 2x / 2 > 4 / 2.
Step 5: Simplify again: x > 2.
Inequalities
– Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation
– Applying operations to isolate the variable on one side of the inequality.
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