Please Help. Write the equation of linear Inequalities to represent each graph.
1 answer:
Green Line:
This is a horizontal line at x = 0, so it would be:
x ? 0
Since the shaded area is going to the left of 0 (this means x is negative):
x ≤ 0
Blue Line:
The shaded area is below the line, so:
y ≤ mx + b
When x = 0, y is -5.
y ≤ mx - 5
From each point, you go up 3 units, and to the right 4 units, so the slope is .
You might be interested in
Answer:
-4 < x ≤ -3
Step-by-step explanation:
The compound inequality needs to be separated into its two parts in order to obtain a solution.
__
We can do a little preliminary work to make the solutions easier.
2x +6 ≤ x +3 < 3x +11 . . . . . given
x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3
<h3>left side</h3>x +3 ≤ 0
x ≤ -3 . . . . . . . subtract 3
<h3>right side</h3>0 < 2x +8
0 < x +4 . . . . divide by 2
-4 < x . . . . . . subtract 4
<h3>solution</h3>Now, we can rearrange these back into a compound inequality.
-4 < x ≤ -3
_____
The graphing calculator shows the same solution.
