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Find the solution to the inequality: 4x - 7 ≤ 9.

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Question: Find the solution to the inequality: 4x - 7 ≤ 9.

Options:

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

Correct Answer: x ≤ 4

Solution: 

Step 1: Add 7 to both sides: 4x ≤ 16. Step 2: Divide by 4: x ≤ 4.

Find the solution to the inequality: 4x - 7 ≤ 9.

Practice Questions

Q1
Find the solution to the inequality: 4x - 7 ≤ 9.
  1. x ≤ 4
  2. x ≥ 4
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Find the solution to the inequality: 4x - 7 ≤ 9.
  • Step 1: Start with the inequality 4x - 7 ≤ 9.
  • Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 4x ≤ 9 + 7.
  • Step 3: Simplify the right side. 9 + 7 equals 16, so now you have 4x ≤ 16.
  • Step 4: Now, divide both sides of the inequality by 4 to solve for x. This gives you x ≤ 16 / 4.
  • Step 5: Simplify the right side. 16 divided by 4 equals 4, so you have x ≤ 4.
  • Inequalities – Understanding how to manipulate and solve inequalities, including adding, subtracting, multiplying, and dividing both sides.
  • Algebraic Manipulation – Applying basic algebraic operations to isolate the variable.
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