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Find the solution for the inequality 2x + 3 ≤ 5.

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Question: Find the solution for the inequality 2x + 3 ≤ 5.

Options:

  1. x ≤ 1
  2. x ≥ 1
  3. x ≤ 2
  4. x ≥ 2

Correct Answer: x ≤ 1

Solution: 

2x + 3 ≤ 5 => 2x ≤ 2 => x ≤ 1.

Find the solution for the inequality 2x + 3 ≤ 5.

Practice Questions

Q1
Find the solution for the inequality 2x + 3 ≤ 5.
  1. x ≤ 1
  2. x ≥ 1
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Find the solution for the inequality 2x + 3 ≤ 5.
Correct Answer: x ≤ 1
  • Step 1: Start with the inequality 2x + 3 ≤ 5.
  • Step 2: To isolate the term with x, subtract 3 from both sides of the inequality. This gives you 2x ≤ 5 - 3.
  • Step 3: Simplify the right side. 5 - 3 equals 2, so now you have 2x ≤ 2.
  • Step 4: Next, divide both sides of the inequality by 2 to solve for x. This gives you x ≤ 2 / 2.
  • Step 5: Simplify the right side. 2 / 2 equals 1, so now you have x ≤ 1.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving one variable.
  • Isolating the Variable – The process of rearranging the inequality to isolate the variable on one side.
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