Find the solution set of this inequality|10x+20| ≤10

solution is

[-3,-1]

Step-by-step explanation:

we are given

Firstly, we will find critical values

so, let's assume it is equal

now, we can break absolute sign

For :

we can solve for x

Add both sides by 20

Divide both sides by -10

and we get

For :

we can solve for x

Subtract both sides by 20

Divide both sides by 10

and we get

so, critical values are

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

so, this is FALSE

For :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

so, this is TRUE

For :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

so, this is FALSE

so, solution is

[-3,-1]

Given:

Consider the complete question is "Patty and carl went to the movie. Patty bought two tickets for 7.35 each. Carl bought two buckets of popcorn at 5.60 each. How much more money did patty spend than carl?".

To find:

How much more money did patty spend than carl?

Solution:

We have,

Price of 1 ticket = 7.35

Price of 1 bucket of popcorn = 5.60

Using the given information, we get

Price of 2 ticket = 2(7.35) = 14.70

Price of 2 bucket of popcorn = 2(5.60) = 11.20

Now, difference between the amounts spend by patty and carl is

Therefore, patty spend 3.50 more than carl.