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:
[tex]y \geq x - 3[/tex]
[tex]y > -4x + 2[/tex]
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.
[tex]y \geq x - 3[/tex]
[tex]x=0 \implies y=-3[/tex]
[tex]x=3 \implies y=0[/tex]
Plot the points (0, -3) and (3, 0).
Draw a solid straight line through the points.
[tex]y > -4x + 2[/tex]
[tex]x=0 \implies y=2[/tex]
[tex]x=1 \implies y=-2[/tex]
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:
[tex]y \geq -3x - 3[/tex]
[tex]y \geq -\dfrac{1}{2}x + 2[/tex]
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.
[tex]y \geq -3x - 3[/tex]
[tex]x=0 \implies y=-3[/tex]
[tex]x=-2 \implies y=3[/tex]
Plot the points (0, -3) and (-2, 3).
Draw a solid straight line through the points.
[tex]y \geq -\dfrac{1}{2}x + 2[/tex]
[tex]x=0 \implies y=2[/tex]
[tex]x=2 \implies y=1[/tex]
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:
https://brainly.com/question/27784622
