2 years ago

Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.

1 answer:

4 0

Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6

You might be interested in

The slope of the line whose equation is x-3y= 1 is 0-3 -1/3 0 0 1/3

insens350 [35]

x-3y= 1

The equation needs to be rewritten in proper Slope intercept form ( y = mx+b) where m is the slope and b is the y-intercept.

x-3y = 1

Subtract x from each side:

-3y = 1-x

Divide both sides by -3:

y = 1/-3 - x/-3

Simplify:

y = 1/3x - 1/3

The slope is 1/3

5 0

3 years ago

Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

$x=\frac{\pi }{8}$

7 0

3 years ago

Which of these shapes contain parallel lines

bonufazy [111]

Quadrilateras

A C

Parallel lines

A B

5 0

3 years ago

There are 5.32 of face paint in each paint pot she used 13 of them while painting forces how many milliliter of face paint

Goshia [24]

Answer:

69.16

Step-by-step explanation:

5 0

2 years ago

6. Solve this inequality: j/4 -8 < 4.

Vaselesa [24]

Answer:

Step-by-step explanation:

Given

$\frac{j}{4}$ - 8 < 4 ( add 8 to both sides )

$\frac{j}{4}$ < 12

Multiply both sides by 4 to clear the fraction

j < 48 → D

6 0

2 years ago