3 years ago

Solve the compound inequality. 5 < 2x - 1 < 9 Show your work

Mathematics

1 answer:

ASHA 777 [7]3 years ago

4 0

Answer:

3<x<5

Step-by-step explanation:

5<2x-1<9

Add 1 on all the sides because of the inverse operation.

Which is 6<2x<10

The divide 2 on all sides to isolate x.

Which is 3<x<5.

You might be interested in

7x + 4x <br><br> I need help plz

Firlakuza [10]

Answer:

11x

Step-by-step explanation:

They have the same variable so just add the two numbers

6 0

3 years ago

A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs.How many seats does the theater have?

Triss [41]

For downstairs- 28 x 38= 1064

For upstairs- 26 x 14= 364

All together- 1064 + 364= 1428

So.... 1428 seats in total.

Hope this helped! :)

3 0

3 years ago

Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

8 0

3 years ago

What vertex does the quadrilateral and the pentagon share?

Leokris [45]

It equals the middle

7 0

3 years ago

Simplify by combing like terms: 7/2x-8.62-3/2x-2.38

chubhunter [2.5K]

$\bf \cfrac{7}{2}x-8.62-\cfrac{3}{2}x-2.38\implies \cfrac{7}{2}x-\cfrac{3}{2}x-8.62-2.38\implies \cfrac{7x-3x}{2}-11
\\\\\\
\cfrac{4x}{2}-11\implies 2x-11$

5 0

3 years ago

Read 2 more answers