Can someone please help me

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Srikanth Ganji asked May 24, 2023

269,123 views

12 votes

Can someone please help me

Mathematics
high-school

Srikanth Ganji asked May 24, 2023

by Srikanth Ganji

2.7k points

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2 Answers

15 votes

Explanation:

$\displaystyle\\12-15x > 22\\12-15x+15x > 22+15x\\12 > 22+15x\\12-22 > 22+15x-22\\-10 > 15x\\Divide\ both\ parts\ of \ the \ equation\ by\ 15:\\-(10)/(15) > x\\\\-(5*2)/(5*3) > x\\\\-(2)/(3) > x \\\\Thus,\\\\x < (-2)/(3)$

Answer: A

$\displaystyle\\4\leq 3x+10 < 19\\\\4-10\leq 3x+10-10 < 19-10\\\\-6\leq 3x < 9\\\\Divide\ the\ inequality\ by \ 3:\\\\-2\leq x < 3\\\\Answer:\ -2\leq x < 3$