applebottomjeans56 applebottomjeans56
  • 07-08-2022
  • Mathematics
contestada

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

(2) b > 8

(3) b < 18

(3) b > 18

Respuesta :

Hi1315
Hi1315 Hi1315
  • 07-08-2022

Answer:

[tex] \blue{b < 8}[/tex]

Answer 1 is correct

Step-by-step explanation:

[tex] \frac{3}{2} b + 5 < 17[/tex]

Take 5 to the right side.

[tex] \frac{3}{2} b < 17 - 5 [/tex]

[tex]\frac{3b}{2} < 12 [/tex]

Multiply both sides by 2.

[tex]3b <12 \times 2[/tex]

[tex]3b < 24[/tex]

Divide both sides by 3.

[tex]b < 8[/tex]

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