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1 year ago

X+2>7 write the solution set in interval notation

Mathematics

1 answer:

REY [17]1 year ago

5 0

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

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(6x?+ 5) - (4x - 3)<br> A. 6x2 - 4x + 2<br> B. 2x2 + 2<br> C. 2x2 + 8<br> O D. 6x2 - 4x + 8

Greeley [361]

Answer:

6x^2 -4x +8

Step-by-step explanation:

(6x^2+ 5) - (4x - 3)

Distribute the minus sign

(6x^2+ 5) - 4x + 3

Combine like terms

6x^2 -4x +8

7 0

3 years ago

Read 2 more answers

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salantis [7]

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum : x2 − 5 x- 6

x2 + x-=6 x − 6

factor pair: x 2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

8 0

2 years ago

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pishuonlain [190]

Answer: The graph is shown below

The solution to the system is (x,y) = (2,3)

=============================================================

Explanation:

To graph $y = \frac{5}{2}x-2$ , we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.

The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.

The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.

Since this system has at least one solution, we consider it a consistent system.

5 0

2 years ago

Help ill give brainliest and a thank you and 5 star if correct

Temka [501]

Answer:

85%

Step-by-step explanation:

The discount is 15% which we can write as 0.15 and we multiply that by 30 to get the discount, which is $4.50. We subtract that from the original price; 30 to get $25.50 as the sale price. We want to find out what percent of 30 25.50 is, so we divide 25.50 and 30 to get 0.85. Multiply that by 100 to get 85%.

5 0

2 years ago

X-2y=5 2x-4y=10

Nitella [24]

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

-2y = -x+5 -4y= -2x +10

y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

½x -5/2 = ½x -5/2

the systems have no solution

• graph as attached

8 0

2 years ago