Respuesta :

kudzordzifrancis
Answer:

[tex]m\:<\:\frac{24}{7}[/tex]]

Step-by-step explanation:

The given inequality is ;

[tex]\frac{2m+3}{2}-\frac{17}{4}\:<\:\frac{m+2}{8}[/tex]

Multiply through by 8 to clear the fraction;

[tex]4(2m+3)-2(17)\:<\:m+2[/tex]

Expand;

[tex]8m+12-34\:<\:m+2[/tex]

Group similar terms;

[tex]8m-m\:<\:2+34-12[/tex]

[tex]7m\:<\:24[/tex]

[tex]m\:<\:\frac{24}{7}[/tex]
zainebamir540

Answer:

Choice A is correct.

Step-by-step explanation:

We have given an inequality :

[tex]\frac{2m+3}{2}-\frac{17}{4}<\frac{m+2}{8}[/tex]

We have to solve the inequality.

Multiply the inequality from both sides by 8 we get,

4(2m+3)-2(17) < m+2

8m+12 -34 < m+2

8m-22 < m+2

8m-m < 2+22

7m <24

m < 24/7 is the correct answer.

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