Question

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

Answer 1

Answer:

c. (3,1)

Step-by-step 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)

Answer 2

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