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

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

You might be interested in

Find an equation in rectangular coordinates for the spherical equation ρ = 7 csc ( ϕ ) csc ( θ )

irinina [24]

$\rho=7\csc\phi\csc\theta\implies\rho\sin\phi\sin\theta=7\iff y=7$

7 0

3 years ago

What is the common ratio of 1,10,100,1000

DedPeter [7]

R=10 is the common ratio

8 0

3 years ago

Read 2 more answers

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

Vladimir [108]

She did not give and unknown value for iced tea

6 0

3 years ago

An earthquake registered 7.4 on the Richter scale. If the reference intensity of this quake was 2.0 × 1011, what was its intensi

dexar [7]

32.0 you just add the first and last numbers then muptily the middle number by you anwser and divdie your 2 anwsers to gether

5 0

3 years ago

Axis of symmetry for f(x) = -2x2 + 20x -42

Ksenya-84 [330]

For the function $f(x)=2x^2 +20x-42$

We can use the formula for the axis of symetry, which is $x= \frac{-b}{2a}$

With the values substituted, we get...

$\frac{-20}{2(-2)} =5$

Therefore the axis of symmetry is $x=5$

8 0

4 years ago

Read 2 more answers