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]

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step-by-step explanation: