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3 years ago

Solve the inequality -2≥4p+6+4

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Hi there

-2 ≥ 4p + 6 + 4

-2 ≥ 4p + 10

4p +10 ≤ -2

Now subtract 10 form both sides

4p + 10 - 10 ≤ -2 - 10

4p ≤ -12

Divide by 4

4p/4 ≤ -12/4

p ≤ -3

I hope that's help:)

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x-------> total peanuts originally from the bag

we know that

1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x

remaining=x-(1/3)*x-------> (2/3)*x

2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x

remaining= (2/3)*x-(1/6)*x------> (1/2)*x

3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x

remaining= (1/2)*x-(1/4)*x-------> (1/4)*x

4) Preston took 10 peanuts------> 10

(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts

5) Total originally peanuts from the bag is equal to 324 peanuts

6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts

7) Joy took (1/6)*x------> (1/6)*324=54 peanuts

8) Brett took (1/4)*x------> (1/4)*324=81 peanuts

9) Preston took 10

check

108+54+81+10=253

remaining=324-253------> remaining=71-------> is correct

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