Question

graph the solution set of the inequality. ( 5 x - 1 < 9 ) or ( 3 x + 5 > 11 )

Explanation:

Step1: Solve \(5x - 1<9\)

Add \(1\) to both sides: \(5x<9 + 1\), so \(5x<10\).
Divide both sides by \(5\): \(x<2\).

Step2: Solve \(3x+5>11\)

Subtract \(5\) from both sides: \(3x>11 - 5\), so \(3x>6\).
Divide both sides by \(3\): \(x>2\).

The solution of \(5x - 1<9\) or \(3x + 5>11\) is \(x<2\) or \(x>2\), which is all real numbers except \(x = 2\).

Answer:

Open Away (since \(x<2\) (open - left part) and \(x>2\) (open - right part), so the graph is two rays with open circles at \(x = 2\) going in opposite directions)