Question

Which point is a solution to y ≤ 3x – 4?
a. (0,4)
b.(0,0)
c.(3,1)
d.(-2,0)

Answer 1

Plug the X and Y values into the expression. In this case, C works:

y <_ 3x - 4
1 <_ 3(3) - 4
1<_ 9 - 4
1<_ 5

Answer 2

c. (3,1)

Explanation:

We are given that an inequality equation

`y\leq 3x-4`

We have to find the point which is a solution of given inequality equation.

Substitute x=0 then we get

`y\leq -4`

The value of y (-
`\infty, -4]`

Substitute x=3 then, we get

`y\leq 3(3)-4=5`

`y\leq 5`

The value of y belongs to (
`-\infty,5]`

Substitute x=-2 then we get

`y\leq 3(-2)-4=-10`

The value of y belongs to (
`-\infty, -10]`

Hence, the point (3,1) is solution of given inequality because when x=3 then the values of y can be 5 or less than 5.

Answer:c. (3,1)