1. What is the solution to the compound inequality 85 < 17m <136?

a. 5 < m or m<8
b.5<m and m<8
c. 5 > mor m > 8
d. 5 >m and m > 8​

Respuesta :

Answer:

The answer is B

Step-by-step explanation:

You have to seperate the inequalities into 2 :

[tex]85 < 17m[/tex]

[tex]17m < 136[/tex]

Then you have to solve it :

[tex]85 < 17m[/tex]

[tex]85 \div 17 < m[/tex]

[tex]5 < m[/tex]

[tex]m > 5[/tex]

[tex]17m < 136[/tex]

[tex]m < 136 \div 17[/tex]

[tex]m < 8[/tex]

Answer:

The answer is b.

Step-by-step explanation:

First separate it into two inequalities.

85<17m and 17m<136

For the first one,

Divide both sides by 17.

5<m

For the second one,

Divide both sides by 17.

m<8.

Therefore, 5<m and m<8. It is and not or because the compound inequality lists them together, not with an or separating it.

Hope this helped.