Question

Write and solve inequalities in context

Answer 1

Answer: Inequality is
`312+10x\geq 546`,
`x\geq 23`

Explanation:

From the question, we have the following information

1. Number of knives need to be at least 546
2. Number of knives that are already in the restaurant is 312
3. Number of knives in each set is 10

For the equation is should follow

Number of knives needed= Number of knives needed + Number of knives per set x Number of set

So hence we got
`312+10x\geq 546`

Now we solve for x

First subtract 312 on both sides

`312+10x\geq 546\\-312 -312`

`10x\geq 234`

Now divide

`10x\geq 234\\/10 /10\\ x\geq 23.4,`

But since Eli can't buy a .4 of a knife we round to 23