Answer:
The graph of y > Three-fourthsx – 2 is a dashed line
One solution to the inequality is (0, 0)
The graph intercepts the y-axis at (0, –2)
Step-by-step explanation:
we have
[tex]y>\frac{3}{4}x-2[/tex]
The solution of the inequality is the dashed line above the solid line [tex]y=\frac{3}{4}x-2[/tex]
The slope of the dashed line is positive and is equal to [tex]m=\frac{3}{4}[/tex]
The y-intercept of the dashed line is (0,-2)
Verify each statement
Option 1) The slope of the line is –2
The statement is false
Because
The slope is equal to [tex]m=\frac{3}{4}[/tex]
Option 2) The graph of y > Three-fourthsx – 2 is a dashed line
The statement is true (see the explanation)
Option 3) The area below the line is shaded
The statement is false
Because
The area above the line is shaded
Option 4) One solution to the inequality is (0, 0)
The statement is true
Because
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
Substitute the value of x and the value of y of the ordered pair in the inequality
For x=0, y=0
[tex]0>\frac{3}{4}(0)-2[/tex]
[tex]0>-2[/tex] ---> is true
so
The ordered pair is a solution of the inequality
Option 5) The graph intercepts the y-axis at (0, –2)
The statement is true (see the explanation)
The true statements are:
Inequalities are used to compare unequal expressions or numbers
The linear inequality is given as:
[tex]y > \frac 34x -2[/tex]
Start by analyzing each inequality
The inequality sign in [tex]y > \frac 34x -2[/tex] means that:
Also, some other features in the inequality are:
Hence, the true statements are: (b), (d) and (e)
Read more about system of linear inequalities at:
https://brainly.com/question/17138408
