Question

Solve for x. -4≤2x+6<12

Answer 1

-4≤2x+6<12

-6 -6 -6

-10≤2x<6

-6 -6

-15≤2x

-15÷2x=-7.5

2÷2=x

7.5=x

Answer 2

For this case we have the following inequality:

`-4\leq 2x + 6 <12`

We want to clear x, for this we start subtracting 6 from each term, that is:

`-4-6\leq 2x + 6-6 <12-6`

Resolving the operations we have left:

`-10\leq 2x <6`

We divide by 2 each term:

`-(10)/(2)\leq(2x)/(2) <(6)/(2)`

Resolving the operations we obtain:

`-5\leq x<3`

That is: x: [-5,3)

Answer:

`-5\leq x<3`