Question

I also have another picture because it cut off the bottom

Answer 1

STEP - BY - STEP EXPLANATION

What to do?

Match the given equations with its graph.

Given:

`\begin{gathered} 2y-x\ge4 \\ \\ y\leq-3 \\ \\ y-2x<2 \\ \\ x+y>1 \end{gathered}`

2y - x ≥4

⇒2y≥ x + 4

y ≥ 1/2 x + 2

Since the inequality is "≥" then the graph is thick and shaded above.

The y-intercept is (0, 2) and the x - intercept is (-4, 0).

y ≤ -3x

"≤", it is thick line and shaded below.

x and y - itercepts are (0, 0) and (0, 0)

y - 2x < 2

This is implies;

y < 2x + 2

"<", hence shaded below " dotted".

The y - interest is (0, 2) and (-1, 0)

Hence, the graph is;

x + y > 1

y > -1 + x

Since "> " , the the line is dotted and shaded above.'

Put x =0

The y - intercept is (0, -1)

x -intercept is (1, 0)