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Stella [2.4K]
3 years ago
8

Solve |x| > 3 a. {-3, 3} b. {x|x < -3 ∪ x > 3} c. {x|x < -3 ∩ x > 3}

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

b

Step-by-step explanation:

as modulus lie outside the number given

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
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Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation y=-5x+1 is:

b=1

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation y=-2x-2 is:

b=-2

Now we need to find the x-intercept. Substitute y=0 and solve for "x":

0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0
3 years ago
The quotient of a number and -7 decreased by 2 is 10 find the number
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Which line appears to have an x-intercept of -5 and a y-intercept of 3?​
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Step-by-step explanation:

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Please help due soon
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