Question

video: multiplication property of inequality and examples
solve the inequalities below. write the solution set in interval notation and graph the solution.
13x < 91
solution:
interval notation for the solution:
graph the solution(in order to show infinity on a graph, you must scroll all the way until you see an arrow. dont forget the \solid dot\ or \open circle\)

Explanation:

Step1: Solve the inequality

Divide both sides of \(13x < 91\) by \(13\).
Since \(13>0\), the inequality sign remains the same.
\(x < \frac{91}{13}\), so \(x < 7\).

Step2: Write in interval notation

For \(x < 7\), in interval notation, it is \((-\infty,7)\).

Answer:

Solution: \(x < 7\)
Interval notation: \((-\infty,7)\)
For the graph: Place an open circle at \(x = 7\) (because \(x\) is not equal to \(7\)) and draw an arrow to the left (towards \(-\infty\)).