Question

eli needs to order some new supplies for the restaurant where he works. the restaurant needs at least 546 knives. there are currently 312 knives. if each set on sale contains 10 knives, write and solve an inequality which can be used to determine x, the number of sets of knives eli could buy for the restaurant to have enough knives.
answer attempt 1 out of 3
inequality: |
x ~ |

Explanation:

Step1: Define variables and inequality

Let \( x \) be the number of sets. Each set has 10 knives, so total new knives are \( 10x \). Current knives: 312. Need at least 546, so \( 312 + 10x \geq 546 \).

Step2: Solve the inequality

Subtract 312: \( 10x \geq 546 - 312 \) → \( 10x \geq 234 \). Divide by 10: \( x \geq 23.4 \). Since \( x \) is sets, \( x \geq 24 \) (but inequality is \( 312 + 10x \geq 546 \), solution \( x \geq 23.4 \), but as integer sets, \( x \geq 24 \), but the inequality setup is key here).

Answer:

Inequality: \( 312 + 10x \geq 546 \)
\( x \geq 23.4 \) (or \( x \geq 24 \) if considering integer sets, but the inequality solution is \( x \geq 23.4 \))