So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0

3 years ago

It takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?

BlackZzzverrR [31]

Answer:

120 min

2 hrs

Step-by-step explanation:

60 min=1 hr

60 min/5=12 min

12(4)=48 min

24 min=1/5 of room

24(5)=120 min

120 min=2 hrs

7 0

3 years ago

there are 20 guests at a party. the host has 8 gallons of punch. he estimates that each guest will drink 2 cups of punch. if he

Rina8888 [55]

Answer: He will have 88 cups of punch left over

Step-by-step explanation:

6 0

3 years ago

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