Answer:
[tex]70\leq x\leq 80[/tex]
Step-by-step 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.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
[tex]|x-75|\leq5[/tex]
Using rule [tex]|u|\leq a[/tex], then [tex]-a\leq u\leq a[/tex], we will get:
[tex]-5\leq x-75\leq5[/tex]
[tex]-5+75\leq x-75+75\leq5+75[/tex]
[tex]70\leq x\leq 80[/tex]
Therefore, the inequality [tex]70\leq x\leq 80[/tex] represents the test scores of 60% of Mr. Venn's students.
