Question

express the solution set of the inequality in interval notation and graph the interval. x > 7/6. choose the correct graph below. oa. graph with arrow pointing left ending at 7/6 ob. graph with arrow pointing left ending at 7/6 with an open - circle oc. graph with arrow pointing right starting at 7/6 with an open - circle od. graph with arrow pointing right starting at 7/6 oe. graph with two arrows pointing in opposite directions of. the solution set is ∅.

Explanation:

Step1: Recall interval - notation for greater - than

The inequality \(x>\frac{7}{6}\) in interval notation is \((\frac{7}{6},\infty)\). This is because \(x\) can take any value strictly greater than \(\frac{7}{6}\) and \(\infty\) is used to represent unboundedness on the right - hand side.

Step2: Recall graph of greater - than inequality

On a number line, for \(x > \frac{7}{6}\), we use an open circle at \(\frac{7}{6}\) (since \(\frac{7}{6}\) is not included in the solution set) and draw an arrow to the right to represent all the values greater than \(\frac{7}{6}\).

Answer:

Interval notation: \((\frac{7}{6},\infty)\)
Graph: Option D (open circle at \(\frac{7}{6}\) and arrow to the right)