Question

Determine if the given value is a solution of the inequality1. x - 6 > 2.1 when x = 82. 2 ≠ 1.8x when x = 2x + 9 ≤ 14 when x = 5

Answer 1

To determine if each given value is a solution to the respective inequality, we need to substitute x and verify if it results in a true affirmation.

1.

$\begin{gathered} x-6>2.1,x=8\to8-6>2.1 \\ 2>2.1 \\ \text{FALSE} \end{gathered}$

2.

$\begin{gathered} 2\ne1.8x,x=2\to2\ne1.8\times2=3.6 \\ 2\ne3.6 \\ \text{TRUE} \end{gathered}$

3.

$\begin{gathered} x+9\le14,x=5\to5+9\le14 \\ 14\le14 \\ \text{TRUE} \end{gathered}$

From the solution developed above, we are able to conclude that the first option is false, while options 2 and 3 are true!