Consider the equation 2x+1=16 a. Does the equation have a solution in the set of integers? b. Does the equation have a solution in the set of rational numbers?

Question

asked May 15, 2022 2.5k views

2 Answers

Jay Sullivan · Answer 1 · 2022-05-17T19:19:22+0000

Explanation:

2x + 1 = 16

2x = 15 (subtract 1 on both sides)

x = 7.5 (divide 2 om both sides)

Since 7.5 is not an integer, (a) is No.

However 7.5 is rational, therefore (b) is Yes.

Sheron · Answer 2 · 2022-05-22T04:21:10+0000

Answer:

$2x + 1 = 16 \\ 2x = 15 \\ x =(15)/(2) \\ \boxed{x = 7.5 }$

a. Does the equation have a solution in the set of integers? ____

→As 7.5 is not a integer, the right answer is No.

b. Does the equation have a solution in the set of rational numbers? ____

→7.5 is a rational number, the right answer is Yes.