Question: 1. (4 points) Solve the inequality 3 -4x+5 for x and write the answer using interval notation. 2. (6 points) Prove the following equation.

1. (4 points) Solve the inequality 3 -4x+5 for x and write the answer using interval notation. 2. (6 points)

1. (4 points) Solve the inequality 3 -4x+5 for x and write the answer using interval notation. 2. (6 points) Prove the following equation. Assume that b > 0, b 1, x > 0, and y > 0. E q 3. (5 points) Fill out the following truth table for (r q) ^ (p Vr). qr q) SIF F T T T T FF T T F TF F T F F F F F F SEF T F al (a) VxP(x) (b) 3xP(x) (c) Vx-P(x) (d) -VxP(x) T T T F T F F T r F HEHE T F T F T F T F T q T T T T T F T F T T F F F T F T 4. (6 points) Fill out the following truth table for p (q r) and (p q) r. Are these expressions logically equivalent? why or why not? logb HEEF TFEE X Y = log (x) = log (y) p Vr ( g) ^ (p V r) r q r p (qr) pq (pq) r 5. (8 points) Let our universe be {4, 6, 8} and predicate P(x) denotes log (x) 8. Determine whether the following statements are True or False. Justify your answer.

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Lets go through each of the points one by one 1 Solve the inequality 3 leq 4x 5 for x and write the answer using interval notation First well isolate x on one side 3 5 leq 4x 2 leq 4x Now divide both ... View full answer

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