Question

Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

Write an inequality that represents the test scores of 60% of his students?

Answer 1

60% < 5 I hope i helped i didnt realy get it the quetion is unclear. the signal is also suppose to be a equal sign.

Answer 2

`70\leq x\leq 80`

Explanation:

Let x represent the test scores of 60% of his students.

We have been given that Mr. Venn knows that 60% of his students will score no more than 5 points above or below the class average,75% on the test.

We will use tolerance formula to solve our given problem.

`|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}`

`|x-75|\leq5`

Using rule
`|u|\leq a`, then
`-a\leq u\leq a`, we will get:

`-5\leq x-75\leq5`

`-5+75\leq x-75+75\leq5+75`

`70\leq x\leq 80`

Therefore, the inequality
`70\leq x\leq 80` represents the test scores of 60% of Mr. Venn's students.