Question

What is the solution to the compound inequality in interval notation? 2(2x−1)>6 or
x+3≤−6

Answer 1

Answer: (-♾, -9] or (2, ♾)

Step-by-step explanation:

I got it right on test

Answer 2

The solution for the given compound inequality is  (-∞,-9]U(2,∞).

What is compound inequality?

A compound inequality consists of two inequalities that are joined together by the word "and" or the word "or". "And" indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

The given compound inequality are,

2(2x−1)>6 or x+3≤−6

Now solving each

2(2x−1)>6  

Divide by 2

2x - 1 > 3

Adding  1

2x > 4

Divide by 2,

x > 2

Again,

x+3 ≤ −6

Substracting 3,

x ≤ −9

So we get x > 2 or x ≤ −9

Basically all numbers more than 2 or less than or equal to -9.

So the solution is (-∞,-9]U(2,∞)

Hence,The solution for the given compound inequality is (-∞,-9]U(2,∞).

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