23.03.2023 - 03:36

For each sentence below, write an equivalent algebraic equation or inequality. a. The difference of 3 and 5 is less than 8. b. The quotient of x and 3 is greater than or equal to 10. c. -2 times the difference of a number and 6 is 18.

Question:

For each sentence below, write an equivalent algebraic equation or inequality.

a. The difference of 3 and 5 is less than 8.

b. The quotient of x and 3 is greater than or equal to 10.

c. -2 times the difference of a number and 6 is 18.

Answers (1)
  • Lessie
    April 9, 2023 в 05:40
    a. The difference of 3 and 5 is less than 8: This can be written as: 3 - 5 < 8 Simplifying, we get: -2 < 8 b. The quotient of x and 3 is greater than or equal to 10: This can be written as: x/3 >= 10 c. -2 times the difference of a number and 6 is 18: This can be written as: -2(n - 6) = 18 where n is the number in question. Simplifying, we get: -2n + 12 = 18 Subtracting 12 from both sides, we get: -2n = 6 Dividing both sides by -2, we get: n = -3 Therefore, the algebraic equation equivalent to this sentence is: -2(n - 6) = 18 which simplifies to -2n + 12 = 18.
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