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The solution to the inequality \( 3x \leq 24 \) is \( x \leq 8 \).
Solución
To solve the inequality 3x ≤ 24, follow these steps:
1. Divide both sides of the inequality by 3. Since 3 is positive, the direction of the inequality remains the same.
3x ≤ 24
x ≤ 24 / 3
2. Simplify the division:
x ≤ 8
Thus, the solution to the inequality is x ≤ 8.
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Simplifique esta solución Beyond the Answer
To solve the inequality \( 3x \leq 24 \), you can easily isolate \( x \) by dividing both sides by 3. This gives you \( x \leq 8 \). So, any value less than or equal to 8 will satisfy the inequality—like a less-stressed shopping list where you can pick any items up to that limit! In real life, this kind of inequality can pop up when budgeting. For instance, if you have $24 to spend and each item costs $3, knowing that you can buy up to 8 items without exceeding your budget is super helpful! Keep track of those piles of cash and enjoy some guilt-free shopping!
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