Question

1. Represent the solution set to 3x – 5 < 8 on the number line below. + -8 + -6 + -2 + 2 + 6 -10 -4 0 4 8 2. Which of the following is NOT in the solution set of 3x – 4 < 8? Select a (A) 3 2 4 (B) (C) (D) 4.5 2

Answer 1

start by finding the solutions for the inequality

`\begin{gathered} 3x-5<8 \\ 3x<8+5 \\ 3x<13 \\ x<(13)/(3) \end{gathered}`

graph the solution set

see that we use an open circle because 13/3 is not part of the solution set