Question

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3/2b+5 < 17

Answer 1

b < 8
Explanation

3/2b + 5 < 17
We subtract 5 from both sides of the inequality.
3/2b + 5 - 5 < 17 - 5
3/2 b < 12
Multiply both sides by 2/3.
( 2/3) * (3/2b) < (2/3) * 12
b < 8

Answer 2

b < 8

Explanation:

Given inequality:

`(3)/(2)b+5 < 17`

Subtract 5 from both sides:

`\implies (3)/(2)b+5-5 < 17-5`

`\implies (3)/(2)b < 12`

Multiply both sides by 2:

`\implies 2 \cdot (3)/(2)b < 2 \cdot 12`

`\implies3b < 24`

Divide both sides by 3:

`\implies (3b)/(3) < (24)/(3)`

`\implies b < 8`