Determine whether each point is a solution of the linear inequality. point (2,-2) linear inequality y≤2x-3

a) no
b) yes

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Given:

The inequality is

The point is (2,-2).

To find:

Whether the given point is a solution of the given linear inequality or not.

Solution:

If the given point satisfy the given inequality, then it is a solution of the linear inequality.

We have,

To check the point (2,-2), substitute x=2 and y=-2 in the above equality.

We know that -2 is less than 1. So, the statement is true. It means the point (2,-2) satisfy the given inequality.

Therefore, yes, the point (2,-2) is a solution of the linear inequality and the correct option is b.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have