Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
Answer: the total price change in stock is fall of 3.2 points or -3.2 points.
Step-by-step explanation:
In integers , we use positive integers to show rise in amount whereas we use negative integers to show fall .
Given: A stock price rose 2.2 points in Week 1.
i.e. +2.2 points rise.
The stock price fell 5.4 points in Week 2.
i.e. fall of -5.4. (Much greater, than it rose)
The equation to represent the total price change in stock would be
Total price change = price rose in Week 1 + price fell in Week 2.
= [+2.2 + (-5.4)] points
= 2.2 - 5.4 points [ (+)(-) = (-)]
= -3.2 points
Hence, the total price change in stock is fall of 3.2 points.
34+50+50+50-60+22
You add everything except 60 because deposits mean add money to the account. You subtract 60 because a withdrawal is taking money out of the account. There are three 50s because you deposit $50 each day for 3 days.
