How to know the interval notation

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Pcoates asked Oct 8, 2023

495,492 views

7 votes

How to know the interval notation

Mathematics
high-school

Pcoates asked Oct 8, 2023

by Pcoates

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1 Answer

8 votes

$5-10x ~~ > ~~ 215+4x\implies 5~~ > ~~215+14x \\\\\\ -210~~ > ~~14x\implies \cfrac{-210}{14}~~ > ~~x\implies \boxed{-15~~ > ~~x} \\\\[-0.35em] ~\dotfill\\\\ 2(5+6x)~~\geqslant ~~-237-7x\implies 10+12x~~\geqslant ~~-237-7x \\\\\\ 10+19x~~\geqslant ~~-237\implies 19x~~\geqslant ~~-247 \\\\\\ x~~\geqslant ~~\cfrac{-247}{19}\implies \boxed{x~~\geqslant ~~-13}$