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Nine minus five times a number, x, is no less than 39. Which of the subsequent expressions represents all the possible values of the number?
Translate the sentence, "Nine minus ?ve times a number is no less than 39," into symbols: 9 - 5x ≥ 39. Subtract 9 from both sides of the inequality: 9 - 9 - 5x ≥ 39 - 9. Simplify: -5x ≥ 30; divide both sides of the inequality through -5. Noticed that when dividing or multiplying each side of an inequality by a negative number, the inequality symbol changes direction: -5x /-5 ≤ 30 /-5. The variable is now alone: x ≤ -6.
Assume that (X, d) is a metric space and let (x1, : : : , x n ) be a nite set of pointsof X. Elustrate , using only the denition of open, that the set X\(x1, : : : , x n ) obtain
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Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
Simplify the following expression and state the coefficient of each variables (a)6m-4-2m+15 (b)4x+6y-3x+5y
what is the meaning of volume of plane figures?
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