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Tomtit [17]
3 years ago
11

How do i solve this? 7 < 3 - 2x It's linear inequalities

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:

x < -2

Discussion:

7 < 3 - 2x                       => Add 2x to both sides

7 + 2x < 3 - (2x - 2x)     =>  As 2x -2x = 0

7 + 2x < 3                      =>  Subtract  7 from both sides

(7-7) +  2x < 3 - 7           => As 7-7 = 0 and 3-7 = -4

2x < -4                           => Divide both sides by 2

x < -4./2 = -2

Thank you,

MrB

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Mashutka [201]
When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation:
1. ANY point on the line
2. Slope (m)
3. Y-intercept (b)

Once you have these two pieces of information, you plug the x and y values from your point and the slope (m) value into the slope-intercept form, y = mx + b.


Start by solving for the slope of each line. We need two ordered pairs (x, y) from each line to solve for the slope:

Offer A:
(0, 400) and (80, 700)

Let (x1, y1) = (0, 400)
(x2, y2) = (80,700)

m = (y2 - y1)/(x2 - x1)
m = (700 – 400)/(80 – 0) = 300/80 = 15/4

Therefore, the slope (m) for Offer A = 15/4

Next, we need the y-intercept. The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the points we used for solving the slope for Offer A reflects the description for the y-intercept, which is point (0, 400). The y-coordinate is 400–this is the y-intercept of the line.

Now, we can establish the linear equation for Offer A: y = 15/4x + 400

Do the same steps for the other offer:

Offer B:
(0, 500)) and (100,900)
Let (x1, y1) = (0, 500)
(x2, y2) = (100,900)

m = (y2 - y1)/(x2 - x1)
m = (900 - 500)/(100 – 0) = 400/100 = 4

Therefore, the slope for Offer B is 4.

Next, we need the y-intercept. For Offer B, the line crosses at point (0, 500). The y-coordinate, 500 is the y-intercept (b) of the line.

The linear equation for Offer B is:
y = 4x + 500



**NOTE: please double-check the coordinates that I used for solving the slopes of each line before using my inputs. I had a slight difficulty going through the coordinates of your graph because it’s a bit blurry (using my phone to write this post).

Please mark my answers as the Brainliest if you find my explanations helpful :)
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