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:
8 cups
Step-by-step explanation:
hope I could help
94. 7 pounds of grapes costs 10.43 dollars. Now, solve for the costs of 3 pounds of grapes.
There are different ways to solve this kind of situation. For my end, I will be showing the solution that I think is easier.
=> 7 pounds = 10.43 dollars.
Find the unit rate first
=> 10.43 dollars / 7 = 1.49 dollars per pounds.
Now, solve for the cost of 3 pounds
=> 1.49 * 3 = 4.47 dollars is the costs of 3 pounds of grapes.
Answer:
Step-by-step explanation:
Replace the n with n+1 to find the (n+1)st term.
Expand brackets.
Add like terms.
Answer:
2 miles from your house
Step-by-step explanation:
you walked 3 miles to the store so you are now 3 miles away.
you meet a friend and walk 1 mile in the direction of your house.
now there is 2 miles left.
3 - 1 = 2
