Inequalities: Overview

If $$x - 2 < 8$$ and $$x + 6 > 4$$, which of the following inequalities expresses all possible values of $$x$$?

Correct. [[Snippet]] Isolate $$x$$ in both inequalities. For $$x - 2 < 8$$, add $$2$$ to isolate $$x$$. >$$x - 2 + 2 < 8 + 2$$ >$$x < 10$$ For $$x + 6 > 4$$, subtract $$6$$ to isolate $$x$$. >$$x + 6 - 6 > 4 - 6$$ >$$x > -2$$ Based on this, $$x$$ must be greater than $$-2$$ and less than $$10$$. >$$-2 < x < 10$$

Incorrect. [[snippet]] Did you make a mistake when manipulating the second inequality? Subtract 6 from both sides of the inequality, as you would in an equation.

Incorrect. [[snippet]] Carefully check your work. Make sure you solve both inequalities for $$x$$.

Incorrect. [[snippet]] Carefully check your calculations. You need to solve both inequalities for $$x$$.

Incorrect. [[snippet]] Carefully check your calculations.

$$2 < x < 10$$

$$4 < x < 8$$

$$-2 < x < 10$$

$$-4 < x < 8$$

$$-8 < x < 4$$