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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.
$$2 < x < 10$$
$$4 < x < 8$$
$$-2 < x < 10$$
$$-4 < x < 8$$
$$-8 < x < 4$$