Which values are in the solution set of the compound inequality? check all that apply. 4(x + 3) ≤ 0 or x + 1 > 3 –6 –3 0 3 8 10

we have

-------> inequality 1

or

-------> inequality 2

we know that

In this system of inequalities, for a value to be the solution of the system, it is enough that it satisfies at least one of the two inequalities.

let's check each of the values

case 1) x=-6

Substitute the value of x=-6 in the inequality 1

-------> is ok

The value of x=-6 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 2) x=-3

Substitute the value of x=-3 in the inequality 1

-------> is ok

The value of x=-3 is a solution of the compound inequality-----> It is not necessary to check the second inequality, because the first one satisfies

case 3) x=0

Substitute the value of x=0 in the inequality 1

-------> is not ok

Substitute the value of x=0 in the inequality 2

--------> is not ok

The value of x=0 is not a solution of the compound inequality

case 4) x=3

Substitute the value of x=3 in the inequality 1

-------> is not ok

Substitute the value of x=3 in the inequality 2

--------> is ok

The value of x=3 is a solution of the compound inequality

case 5) x=8

Substitute the value of x=8 in the inequality 1

-------> is not ok

Substitute the value of x=8 in the inequality 2

--------> is ok

The value of x=8 is a solution of the compound inequality

case 6) x=10

Substitute the value of x=10 in the inequality 1

-------> is not ok

Substitute the value of x=10 in the inequality 2

--------> is ok

The value of x=10 is a solution of the compound inequality

therefore

the answer is

[-6,-3,3,8,10]

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!

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step-by-step explanation: