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gulaghasi [49]
3 years ago
8

Solve the compound inequality.

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0
5x - 11 < -11
5x < 0
x < 0

4x + 2 > 14
4x > 12
x > 3

x<0 or x > 3
Alenkinab [10]3 years ago
6 0

Answer:

x<0 or x> 3

First option is correct.

Step-by-step explanation:

The given inequality is

5x – 11 < –11 or 4x + 2 > 14

Add 11 to both sides in first inequality and subtract 2 to both sides in second inequality

5x  < –11+11 or 4x  > 14-2

5x < 0 or 4x > 12

Divide both sides by 5 in first inequality and divide both sides by 4 in second inequality

x<0 or x> 3

First option is correct.

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Write an equation in Slope-Intercept Form using the table below. ​
Veseljchak [2.6K]

Answer:

y = x + 46

Step-by-step explanation:

When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

Let (x1, y1) = (0, 46)

(x2, y2) =  (1, 47)

User the following formula for slope

m = \frac{y2 - y1}{x2 - x1}

Plug in the values of the coordinates into the formula:m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). 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. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

Given the slope, m = 1, and y-intercept, b = 46, the linear equation in slope-intercept form is:

y = x + 46

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

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Step-by-step explanation:

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