Question

Tell whether (4, 3) is a solution of y < -2x -5

Answer 1

The point (4,3) is not the solution of y ≤ -2x -5

Explanation:

We need to tell whether (4, 3) is a solution of y ≤ -2x -5

To check if (4,3) is solution of y ≤ -2x-5 we will put the values of x and y and check if the inequality hold true or not.

• if inequality holds true, the point (4,3) is the solution of y ≤ -2x -5

• if inequality doesn't holds true i.e. its false, the point (4,3) is not the solution of y ≤ -2x -5

Now put x = 4 and y = 3

y ≤ -2x -5

3 ≤ -2(4) -5

3 ≤ -8-5

3 ≤ -13 (False)

As 3 is not less than -13 so, inequality doesn't hold true.

Therefore the point (4,3) is not the solution of y ≤ -2x -5