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Snezhnost [94]
3 years ago
9

What is the solution to the inequality |X-4 <3?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0

Answer:

x > 1 or x < 7

Step-by-step explanation:

| x - 4 | < 3

± ( x - 4 ) < 3

There are two possible cases

( x - 4 ) < 3 or - ( x - 4 ) < 3

x - 4 < 3 or - x + 4 < 3

x < 3 + 4 or 4 - 3 < x

x < 7 or 1 < x

x > 1 or x < 7

Therefore option 4 is correct.

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Anestetic [448]

Answer:

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

Step-by-step explanation:

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

3 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIST IF HELPSED
Natali [406]
When x = 0  y = a(b)^x = a   which is the y intercept
so as the y-intercept = 3 a must be = 3.
3 0
3 years ago
What is the<br> area of the rhombus?
cluponka [151]

Answer:

Area=36

Step-by-step explanation:

Area of rhombus: diagonal 1 x diagonal 2 divided by 2.

To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).

First, find the distance between -8 and 4 which is 12.

Next, find the distance between -1 and -7 which is 6.

12 x 6 =72

72/2=36

4 0
3 years ago
What is the volume of a sphere with a radius of 9.5 ft, rounded to the nearest tenth of a cubic foot?
DiKsa [7]

Answer:

V = 3591.4 ft³

Step-by-step explanation:

The formula for the volume of a sphere whose radius is given is

V = (4/3)πr³

Here we have   V = (4/3)(3.14)(9.5 ft)³, or:

                          V = 3591.4 ft³

6 0
3 years ago
Which of the following is the measure of an acute angle?
gladu [14]

There is no image, but I can help you by telling you what an acute angle is:

An acute angle is any angle that has a measure LESS then 90 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0
2 years ago
Read 2 more answers
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