Question

Determine which of the following points is a solution to the inequality y s 2x + 4 i. (0.6) ii. (2,3) iii. (-4,1) iv. (0. Y y x y iv. 10.4

Answer 1

`y\leq2x+4`

We will substitute x by the x-coordinate of the given point and check the value of y

At x = 0

`\begin{gathered} y\leq2(0)+4 \\ y\leq0+4 \\ y\leq4 \end{gathered}`

The value of y = 6

and 6 not smaller than or equal 4

(0, 6) not a solution

At x = 2

`\begin{gathered} y\leq2(2)+4 \\ y\leq4+4 \\ y\leq8 \end{gathered}`

The value of y is 3

3 is smaller than 8

(2, 3) is a solution to the inequality

Let us check the other points

At x = -4

`\begin{gathered} y\leq2(-4)+4 \\ y\leq-8+4 \\ y\leq-4 \end{gathered}`

The value of y is 1

1 is not smaller than -4

(-4, 1) not a solution to the inequality

At x = 0

`\begin{gathered} y\leq2(0)+4 \\ y\leq0+4 \\ y\leq4 \end{gathered}`

The value of y = 4

4 is equal to 4

(0, 4) is a solution to the inequality also

Ok

Because they need different answers we can not put then in one session

So you should to