Question: Find the solution to the inequality: 5 - 2x > 3.
Options:
x < 1
x > 1
x < -1
x > -1
Correct Answer: x < 1
Solution:
Step 1: Subtract 5 from both sides: -2x > -2. Step 2: Divide by -2 (reverse inequality): x < 1.
Find the solution to the inequality: 5 - 2x > 3.
Practice Questions
Q1
Find the solution to the inequality: 5 - 2x > 3.
x < 1
x > 1
x < -1
x > -1
Questions & Step-by-Step Solutions
Find the solution to the inequality: 5 - 2x > 3.
Step 1: Start with the inequality 5 - 2x > 3.
Step 2: Subtract 5 from both sides to isolate the term with x. This gives you -2x > 3 - 5.
Step 3: Simplify the right side: -2x > -2.
Step 4: Now, divide both sides by -2. Remember, when you divide by a negative number, you must reverse the inequality sign. So, it becomes x < 1.
Inequalities – Understanding how to manipulate and solve inequalities, including the effect of multiplying or dividing by negative numbers.
Reverse Inequality – Recognizing that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
