The correct graph is fourth option
Explanation:Using the intercepts: we have x-intercept and y-intercept
To get x intercept, we will equate the function to zero. That is y = 0
x intercepts are x = -4 and x = 1
This means the line will cross the x axis at two points: x = -4 and x = 1
To get y-intercept, we will equate x to zero:
y-intercept = 2
This means the line will cross the y axis at y = 2
The correct graph is fourth option
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Answer:
x ≤ -20 or 5 ≤ x
see attached for a graph
Step-by-step explanation:
You have done most of the work of solving the inequalities. The steps are ...
x/5 -x ≤ -6
x/5 ≤ -4 . . . . . add 2
x ≤ -20 . . . . . multiply by 5
__
8x +1 ≥ 41
8x ≥ 40 . . . . . add -1
x ≥ 5 . . . . . . . multiply by 1/8
So, the two inequalities you want to graph are ...
x ≤ -20 or 5 ≤ x
The values x = -20 and x = 5 are part of the solution set, so there would be solid dots at those points. The shading of the number line will extend outward from those points.
