Get clear, concise, and accurate answers to your questions on IDNLearn.com. Our community is here to provide detailed and trustworthy answers to any questions you may have.

What is that solution to this inequality 2(x-4)+14<=x-1

Sagot :

[tex]2(x-4)+14\leq x-1\\ 2x-8+14\leq x-1\\ 2x-x\leq-1+8-14\\ x\leq-7[/tex]
[tex]2(x-4)+14\leq x-1\\2x+2(-4)+14\leq x-1\\2x-8+14\leq x-1\\2x+6\leq x-1\ \ \ \ |subtract\ 6\ from\ both\ sides\\2x\leq x-7\ \ \ \ |subtract\ x\ from\ both\ sides\\\boxed{x\leq-7\to x\in(-\infty;-7]}[/tex]