All categories

3 years ago

Solve the following compound inequality 12 < 2x-4/3 < 16 step by step

Mathematics

1 answer:

motikmotik3 years ago

4 0

Answer:

x∈(20/3;26/3)

Step-by-step explanation:

12 < 2x-4/3 < 16

first we add 4/3 to each side

12+4/3<2x<16+4/3

we bring to the same denominator

12*3/3+4/3<2x<16*3/3+4/3

(36+4)/3<2x<(48+4/3)

40/3<2x<52/3

now we divide by 2

20/3<x<26/3

x∈(20/3;26/3)

You might be interested in

What is two thirds equal to

Luden [163]

Answer:

2/3 = 0.6666666666666667 or just 67%.

Step-by-step explanation:

5 0

3 years ago

59-(2c+3)=4(c+7)+c.

alisha [4.7K]

Step-by-step explanation:

${:}\leadsto$ $\sf 59-(2c+3)=4 (c+7)+c$

${:}\leadsto$ $\sf 59-2c-3=4c+28+c$

${:}\leadsto$ $\sf 56-2c=5c+28$

${:}\leadsto$ $\sf 5c+28=56-2c$

${:}\leadsto$ $\sf 5c+2c=56-28$

${:}\leadsto$ $\sf 7c=28$

${:}\leadsto$ $\sf c={\dfrac {28}{7}}$

${:}\leadsto$ $\sf c=4$

4 0

3 years ago

Read 2 more answers

Expand and Simplify 3(4x + 1 ) -2(3x-4)

pychu [463]

Answer:

<h3> $\boxed{ \bold{ 6x + 11}}$ </h3>

Step-by-step explanation:

$\mathsf{3(4x + 1) - 2(3x - 4)}$

Distribute 3 through the parentheses

$\mathsf{12x + 3 -2(3x - 4)}$

Distribute 2 through the parentheses

⇒ $\mathsf{12x + 3 - 6x + 8}$

Collect like terms

⇒ $\mathsf{6x + 11}$

Hope I helped!

Best regards!!

6 0

4 years ago

Read 2 more answers

Maria works in a factory that produces new cars. She is having trouble with one of the machines. In order to work properly, the

Dovator [93]

Answer:

Maria did her job properly. Both gears are perpendicular.

Step-by-step explanation:

Recall that given vectors a and b, they are perpendicular if and only if $a\cdot b$ =0. If $a=(a_1,a_2),b=(b_1,b_2)$ . Then $a\cdot b = a_1b1_+a_2b_2$ .

IN our case a=(5,-1,2) and b) (1,-3,-4). So,

$a\cdot b = 5\cdot 1 + (-1)\cdot(-3) + 2\cdot(-4) = 5+3-8 =0$

So both gears are perpendicular.

3 0

3 years ago

If I'm 4years and my brother is half of my age now I'm 44 how old is he ?

Gemiola [76]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers