Question

question 5
inequalities
solve the inequality 2x < - 3x - 5. write your answer as an inequality and in interval notation, then graph the solution set on the number line.
for graphing: if the symbol in the inequality is < or >, use an open circle. if the symbol in the inequality is ≤ or ≥, use a closed circle.
inequality: 2x < - 3x - 5
inequality notation graph interval notation
question help: video message instructor

Explanation:

Step1: Add 3x to both sides

$2x + 3x< - 3x-5 + 3x$
$5x<-5$

Step2: Divide both sides by 5

$\frac{5x}{5}<\frac{-5}{5}$
$x < - 1$

Answer:

Inequality Notation: $x < - 1$
Interval Notation: $(-\infty,-1)$
For the graph: Use an open - circle at - 1 and draw an arrow to the left.