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3 years ago

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

Mathematics

2 answers:

Fed [463]3 years ago

6 0

$2(x-4)+14\leq x-1\\
2x-8+14\leq x-1\\
2x-x\leq-1+8-14\\
x\leq-7$

Varvara68 [4.7K]3 years ago

3 0

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

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<u>Step-by-step explanation:</u>

Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.

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