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Please help with this question. Ignore my current answer selection, it's not correct.

Please help with this question. Ignore my current answer selection, it's not correct-example-1

2 Answers

6 votes

Answer:

Choice b is correct.

Explanation:

We have given an inequality:


(12)/(25)-(3b)/(10) <(1)/(2)-(b)/(5)

We have to solve this inequality.


(12)/(25)-(3b)/(10) <(1)/(2)-(b)/(5)


(2(12)-5(3b))/(50)<(5-2b)/(10)


10(24-15b)<50(5-2b)

240-150b < 250-100b

240-250 < -100b+150b

-10 < 50b

b > -1/5 is the answer.

User Mhvelplund
by
8.1k points
7 votes

Answer:


b\:>\:-(1)/(5)

Explanation:

The given inequality is


(12)/(25) -(3b)/(10)\:<\:(1)/(2)-(b)/(5)

Multiply through by 50.


2(12) -5(3b)\:<\:25(1)-10(b)

Simplify;


24-15b\:<\:25-10b

Group like terms


24-25\:<\:-10b+15b


-1\:<\:5b

Divide both sides of the inequality by 5.


-(1)/(5)\:<\:b


b\:>\:-(1)/(5)

User Elliot Coad
by
7.5k points

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