The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
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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 ...
- add the opposite of the constant on the side with the variable
- multiply by the inverse of the coefficient of the variable.
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.
The mural is painted as follow :
blue = 1/4
red = 2/8 = 1/4
green = 3 /12 = 1/4
so, Total = 1/4 + 1/4 + 1/4 = 3/4
which mean the quantity of mural that has been painted = 3/4 = 0.75 = 75%
The attached figure represents an explanation of the problem using fraction strips.
blue = 1/4
red = 2/8 = 1/4
green = 3 /12 = 1/4
so, Total = 1/4 + 1/4 + 1/4 = 3/4
which mean the quantity of mural that has been painted = 3/4 = 0.75 = 75%
The attached figure represents an explanation of the problem using fraction strips.