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AlekseyPX
2 years ago
15

Solve [ 2x - 2 ] _> 6

Mathematics
1 answer:
Alla [95]2 years ago
3 0

x  ≥  4 which means that x must be greater than or equal to 4.

<h3>What is inequality?</h3>

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Given inequality as :

⇒ 2x - 2  ≥  6

Divided by 2 both sides of the inequality,

⇒ x - 1  ≥  3

Add the 1 on both sides of the inequality,

⇒ x - 1 + 1  ≥  3 + 1

⇒ x  ≥  4 or

⇒ x ∈ [4, ∞ )

So, the solution of 2x - 2  ≥  6 is x  ≥  4

Therefore, x must be greater than or equal to 4.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

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Solve |x| + 7 &lt; 4
Semenov [28]

|x|+7

6 0
3 years ago
What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?
Snowcat [4.5K]

First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

 

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

 

<span>So the slope of the line is -1.</span>

3 0
3 years ago
The perimeter of triangle ABC is 54. the triangle has side lengths AB=3x, BC=4x, AC=5x. Find the length of each side.
elena-14-01-66 [18.8K]

The perimeter of a triangle is the sum of its sides. So, we have

P = \overline{AB}+\overline{BC}+\overline{AC}

We have an exact value for the perimeter, and variable expressions for the sides. Let's substitute the formula above with what we're given:

54 = 3x+4x+5x = 12x

If you divide both sides by 12, you have

x = \dfrac{54}{12} = 4.5

So, the lengths of the sides are

AB = 3x = 3\times 4.5 = 13.5

BC = 4x = 4\times 4.5 = 18

AC = 5x = 5\times 4.5 = 22.5

7 0
3 years ago
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps bel
Sav [38]

The error is in the first step. It should be (+8 plus or minus the square root of the quantity eight squared minus four times one times seven ). This is because "b" is -8 so -b is -(-8) = +8

8 0
3 years ago
Read 2 more answers
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books
laila [671]
Let, the number of books on Monday = m
On Tuesday = 2m
On Wednesday = 2m - 6

Equation: m + 2m + (2m - 6) = 19
You can solve it:
5m = 19 + 6
m = 25/5
m = 5

In short, He sold 5 books on Monday

Hope this helps!
7 0
4 years ago
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