Question

Please solve both 50 points thank you.

Answer 1

Answer:

When graphing inequalities:

< or > : draw a dashed line

≤ or ≥ : draw a solid line

< or ≤ : shade under the line

> or ≥ : shade above the line

Question 14

Given inequalities:

$y \geq x - 3$

$y > -4x + 2$

Treat the inequalities as equations (swap the inequality sign for an equals sign) to find two points on the line to help draw the lines.

$y \geq x - 3$

$x=0 \implies y=-3$

$x=3 \implies y=0$

Plot the points (0, -3) and (3, 0).

Draw a solid straight line through the points.

$y > -4x + 2$

$x=0 \implies y=2$

$x=1 \implies y=-2$

Plot the points (0, 2) and (1, -2)

Draw a dashed straight line through the points.

Shade the intersecting area above the two lines.

Question 15

Given inequalities:

$y \geq -3x - 3$

$y \geq -\dfrac{1}{2}x + 2$

Treat the inequalities as equations (swap the inequality sign for an equals sign) to find two points on the line to help draw the lines.

$y \geq -3x - 3$

$x=0 \implies y=-3$

$x=-2 \implies y=3$

Plot the points (0, -3) and (-2, 3).

Draw a solid straight line through the points.

$y \geq -\dfrac{1}{2}x + 2$

$x=0 \implies y=2$

$x=2 \implies y=1$

 Plot the points (0, 2) and (2, 1)

Draw a solid straight line through the points.

Shade the intersecting area above the two lines.

Learn more about inequalities here:

brainly.com/question/27784622

Answer 2

We shall use graphical method

Both the graphs of the inequalities have been attached