CHAPTER 8 / ESSENTIAL ALGEBRA I SKILLS 323
Concept Review 6:
Inequalities, Absolute Values, and Plugging In
Express each of the following statements as equations or inequalities using absolute values.
- The distance from yto 3 is less than 5. ____
- The distance from ato 2 is equal to the distance from bto −2. ____
- The distance from xto −1 is no greater than 10. ____
- The distance from ato bis no more than twice the distance from ato c. ____
Graph the solution to each of the following inequalities on the given number line. Check your answer by testing
points.
5.⏐x− 3 ⏐< 2 6.y^2 ≥ 47 .6x> 2x^28.− 3 x≥ 12 9. 5 −x^2 < 5 10. x+3 < x− 1Solve the following problem by plugging in, then see if you can solve it “algebraically.”
- If a= 2 b−cand 5b=a+1, then which of the following expressions is equivalent to a?
(A) 3b+c− 1 (B) 3b−c+ 1 (C) (D) (E) 71
271 bc+−
271 bc−−
2bc−+