Question

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. y ≤ x x + y ≥ 1

Answer 1

we have that

y ≤ x
x + y ≥ 1

using a graph tool
see the attached figure

the solution is the shaded area

Answer 2

Answer:

(1,0) and (0.5,0.5)

Step-by-step explanation:

Given : $y \leq  x$

            $x + y\geq 1$

To Find: Graph the solution for the following system of inequalities.

Solution:

Plot the given inequalities using graphing calculator.

Green shows $y \leq  x$

Purple shows  $x + y\geq 1$

Refer the attached graph ,

Solutions : (1,0) and (0.5,0.5)

Verification:

$y \leq x$

Substitute(1,0)

$0 \leq 1$ TRUE

Substitute (0.5,0.5)

$0.5 \leq 0.5$  TRUE

 $x + y\geq 1$

Substitute(1,0)

$1 + 0\geq 1$

$1 \geq 1$  TRUE

 $x + y\geq 1$

Substitute (0.5,0.5)

$0.5 +0.5\geq 1$

$1\geq 1$  TRUE.

Hence verified.

Thus solution is (1,0) and (0.5,0.5)