Question

Given 10 < x + 12 Choose the solution set.

x
x∈R, x < -2
x
x∈R, x < 2
x

Answer 1

x

Explanation:

You solve the inequality just like you would solve an equality.

Everything that has the x on the left side, everything without x on the right side.

Be careful that when you multiply by -1, the inequality signal changes(for example, lesser than becomes higher than

So

Multiplying by -1

So the correct answer is:

x∈R, x > -2

Answer 2

x∈R, x > -2

Explanation:

You solve the inequality just like you would solve an equality.

Everything that has the x on the left side, everything without x on the right side.

Be careful that when you multiply by -1, the inequality signal changes(for example, lesser than becomes higher than

So

`10 < x + 12`

`-x < 12 - 10`

`-x < 2`

Multiplying by -1

`x > -2`

So the correct answer is:

x∈R, x > -2