Question

What is the solution to 3/2b + 5 < 17? Explain How.
(1) b < 8

(2) b > 8

(3) b < 18

(3) b > 18

1. thaiduong

### 3/2b + 5 < 17

We subtract 5 from both sides of the inequality.

### 3/2 b < 12

Multiply both sides by 2/3.

### b < 8

Therefore, the correct option is alternative “A”.
We would think that it is option B, but the only difference is that it changes the direction of the sign.

2. Answer:  [A]: b < 8 ” .
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Step-by-step explanation:
Given:
Find the solution to:   ” 3/2b + 5 < 17 ” ; and choose from the answer choices.
So; we have:
(3/2)b + 5 < 17  ;
Now, subtract “5” from each side of this inequality:
(3/2)b + 5 − 5  <  17 − 5  ;
To get:
(3/2)b  <  12 ;
Now, let’s multiply Each Side of this inequality by “2” ;
to get rid of the fraction:
”  2*(3/2)b  <   12*2 ”  ;
{Note:} ;
Note:  To simplify:  ” ” ;
Note the “2” in the denominator in the “first term” ;
And:  The “2” in the denominator in the “second term” ;
Both “cancel out” to “1” ;  since:  “[ 2 / 2 = 2÷2 = 1 ]” ;
And:  we have:  ” ” };
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and rewrite:
” 3b < 24 ”  ;
Now, divide Each side of the inequality by “3” ;
to isolate “b” on one side of the inequality;
and to solve for “x” ;
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” 3b/3 < 24/3 ” ;
to get:
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“ b < 8 ” ; which corresponds to the correct answer:
Answer choice:  [A]:  ” b < 8 ” .
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Hope this is helpful to you! Best wishes!
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