Question

Which ordered pair makes both inequalities true? y < 3x – 1 y > –x + 4(4,0) (1,2) (0,4) (2,1)

Answer 1

SOLUTION

The given inequalities are:

$\begin{gathered} y<3x-1 \\ y>-x+4 \end{gathered}$

The given ordered pairs are (4,0), (1,2), (0,4), and (2,1)

Using the first pair (4,0), substitute x=4 and y=0 into the inequalities:

$\begin{gathered} 0<3(4)-1 \\ 0<11 \end{gathered}$

Notice that the equation is true.

Notice that this inequality is false,

Hence the point (4,0) does not make the inequality true.

Following the same procedure