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3 years ago

One step inequalities.... 9x<18 how to solve

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

6 0

Divide by 9
You will get x<2

Nuetrik [128]3 years ago

5 0

So 9x<18 can be factored out into
9(x)<9(2)
you can divide both sides by 9
x<2

so the solution is any number more than 2, but not 2

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4 years ago

Write the quadrants where the following points will lie. (a) (-20,13), (b) (-12, -8 ).

frozen [14]

Answer:

$(-20,\, 13)$ would be in the second quadrant of the cartesian plane.

$(-12,\, -8)$ would be in the third quadrant of the cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes of the cartesian plane divides the plane into four quadrants. By convention, these quadrants are numbered counterclockwise starting from the quadrant on the top right:

$\begin{array}{c|c}\text{Second Quadrant} & \text{First Quadrant} \\ \cline{1-2}\\[-1em] \text{Third Quadrant} & \text{Fourth Quadrant}\end{array}$ .

Top-left: first quadrant.
Top-right: second quadrant.
Bottom-left: third quadrant.
Bottom-right: fourth quadrant.
Points on either axes (where at least one of the coordinates is $0$ ) are not in any of the four quadrants.

The $x$ -coordinate of the first point, $(-20,\, 13)$ , is $x = -20$ , which is negative. Thus, this point would be to the left of the vertical axis.

Since the $y$ -coordinate of this point, $y = 13$ , is positive, this point would be above the horizontal axis.

Thus, the point $(-20,\, 13)$ would be in the quadrant on the top-left corner of the cartesian plane. Therefore, this point would be in the second quadrant of the plane.

The second point $(-12,\, -8)$ would also be to the left of the vertical axis since the $x$ -coordinate of this point, $x = -12$ , is negative.

This point would be below the horizontal axis since the $y$ -coordinate of this point $y = -8$ is negative.

Thus, the point $(-12,\, -8)$ would be in the quadrant on the lower-left corner of the cartesian plane. This point would be thus be in the third quadrant of the plane.

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3 years ago

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GarryVolchara [31]

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4 years ago

Read 2 more answers