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Stitz-Zeager_College_Algebra_e-book

# Even obi wan presented the truth to luke only from a

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Unformatted text preview: urate graph, we need to ﬁnd where these two graphs intersect, so we set |x| = 2 − x2 . Proceeding as before, breaking this equation into cases, we get x = −1, 1. Graphing yields y 2 1 −2 −1 1 −1 The graph of T 2 x 2.4 Inequalities 2.4.1 167 Exercises 1. Solve the inequality. Express your answer in interval form. (a) |3x − 5| ≤ 4 (j) x2 + 4 ≤ 4x (b) |7x + 2| > 10 (k) x2 + 1 < 0 (c) 1 < |2x − 9| ≤ 3 (l) 3x2 ≤ 11x + 4 (d) | − 2x + 1| ≥ x + 5 (m) x > x2 (e) |x + 3| ≥ |6x + 9| (n) 2x2 − 4x − 1 > 0 (f) x2 + 2x − 3 ≥ 0 (o) 5x + 4 ≤ 3x2 (g) 16x2 + 8x + 1 > 0 (p) 2 ≤ |x2 − 9| < 9 (h) x2 + 9 < 6x (q) x2 ≤ |4x − 3| (i) 9x2 + 16 ≥ 24x (r) x2 + x + 1 ≥ 0 2. Prove the second, third and fourth parts of Theorem 2.3. 3. If a slingshot is used to shoot a marble straight up into the air from 2 meters above the ground with an initial velocity of 30 meters per second, for what values of time t will the marble be over 35 meters above the ground? (Re...
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