Write an inequality for the word problem and answer the question about the inequality. The sum of two consecutive numbers is greater than 50. Could 25 be one of the numbers.

Question

asked Sep 10, 2023 228k views

1 Answer

Thomas Dutrion · Answer 1 · 2023-09-16T04:27:26+0000

Given:

The sum of two consecutive numbers is greater than 50

Let the numbers are: (x) and (x+1)

so, we will have the following inequality:

$\begin{gathered} (x)+(x+1)>50 \\ 2x+1>50 \end{gathered}$

solve the inequality as follows:

$\begin{gathered} 2x+1>50\rightarrow(-1) \\ 2x+1-1>50-1 \\ 2x>49\rightarrow(/2) \\ \\ (2x)/(2)>(49)/(2) \\ \\ x>24.5 \end{gathered}$

So, as x > 24.5

The number 25 is one of the numbers