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If 5x - 2 ≤ 3, what is the maximum value of x?

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Question: If 5x - 2 ≤ 3, what is the maximum value of x?

Options:

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

Correct Answer: x ≤ 1

Solution: 

Step 1: Add 2 to both sides: 5x ≤ 5. Step 2: Divide by 5: x ≤ 1.

If 5x - 2 ≤ 3, what is the maximum value of x?

Practice Questions

Q1
If 5x - 2 ≤ 3, what is the maximum value of x?
  1. x ≤ 1
  2. x ≤ 2
  3. x ≤ 3
  4. x ≤ 4

Questions & Step-by-Step Solutions

If 5x - 2 ≤ 3, what is the maximum value of x?
  • Step 1: Start with the inequality 5x - 2 ≤ 3.
  • Step 2: To get rid of the -2, add 2 to both sides of the inequality. This gives you 5x ≤ 3 + 2.
  • Step 3: Simplify the right side: 5x ≤ 5.
  • Step 4: Now, to solve for x, divide both sides of the inequality by 5. This gives you x ≤ 5 / 5.
  • Step 5: Simplify the right side: x ≤ 1.
  • Inequalities – Understanding how to manipulate and solve inequalities to find the range of possible values for a variable.
  • Algebraic Manipulation – Applying basic algebraic operations such as addition and division to isolate the variable.
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