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:

$-4\leq 2x + 6$

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

$-4-6\leq 2x + 6-6$

Resolving the operations we have left:

$-10\leq 2x$

We divide by 2 each term:

$-\frac{10}{2}\leq\frac{2x}{2}$

Resolving the operations we obtain:

$-5\leq x$

That is: x: [-5,3)

Answer:

$-5\leq x$