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Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
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Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality is the same as
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Let's multiply both sides by 15 to clear out the fractions
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Now isolate the variable b
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.
Answer:
y ≤ 2x -2 Option C.
Step-by-step explanation:
Equation of the dotted line which passes through (3,0) and (0,8) will be
y = mx+C
m = = -1
and C = 3
So equation will be y = x + 3
But shaded blue part is above the dotted line so inequality will be y> -x +3
Equation of the second solid line which passes through ( 0,-2) and (1,0) will be
y = mx + C
m = =
= 2
and C = -2
So equation of the line will be y = 2x - 2
But shaded yellow part is below the solid line.
So inequality will be
y ≤ 2x -2
Option C. is the answer.