Question

Select all of the points that satisfy the linear inequality below.y > x + 3Select all that apply:(-5, 1)(1, 4)(-1,0)(3,-4)

Answer 1

The given inequality is

`y>x+3`

Substitute x and y by the coordinates of each point, then check if the inequality is right or wrong

At point (-5, 1)

x = -5, y = 1

`\begin{gathered} 1>-5+3 \\ 1>-2 \end{gathered}`

The inequality is correct because 1 is greater than -2

At point (1, 4)

x = 1, y = 4

`\begin{gathered} 4>1+3 \\ 4>4 \end{gathered}`

The inequality is wrong because 4 is not greater than 4, 4 is equal to 4

At point (-1, 0)

x= -1, y = 0

`\begin{gathered} 0>-1+3 \\ 0>2 \end{gathered}`

The inequality is wrong because 0 is not greater than 2

At point (3, -4)

x = 3, y = -4

`\begin{gathered} -4>3+3 \\ -4>6 \end{gathered}`

The inequality is wrong because -4 is not greater than 6

The correct answer is (-5, 1), answer A