Solve: $14-4 y \leq 66$
Answer (1)
Subtract 14 from both sides of the inequality: − 4 y ≤ 52 .
Divide both sides by -4, remembering to flip the inequality sign: y g e q − 13 .
The solution to the inequality is y g e q − 13 .
The correct answer is y g e q − 13 .
Explanation
Understanding the Inequality We are given the inequality 14 − 4 y ≤ 66 . Our goal is to isolate y on one side of the inequality to find the solution.
Subtracting 14 from Both Sides First, we subtract 14 from both sides of the inequality: 14 − 4 y − 14 ≤ 66 − 14
− 4 y ≤ 52
Dividing by -4 and Flipping the Inequality Sign Next, we divide both sides of the inequality by -4. Remember that when we divide or multiply an inequality by a negative number, we must flip the inequality sign: − 4 − 4 y g e q − 4 52
y g e q − 13
Finding the Correct Solution Therefore, the solution to the inequality is y g e q − 13 . Comparing this to the given options, we see that the correct answer is y g e q − 13 .
Examples
Imagine you're managing a budget for a school event. You have $66 to spend, and you need to buy supplies that cost $14 upfront. Each additional item you purchase costs $4. The inequality 14 − 4 y ≤ 66 helps you determine the maximum number of additional items ( y ) you can buy without exceeding your budget. Solving this inequality ensures you stay within your financial constraints while making the necessary purchases for the event.
