Question

Solve 3x > 174, and use the interactive number line tool to graph the solution. What is true about the graph? Check all that apply. There is an open circle at 58. There is a closed circle at 58. There is an open circle at 174. There is a closed circle at 174. The arrow points right. The arrow points left.

Answer 1

open circle at 58, arrow points right

Answer 2

The correct options are:

• There is an open circle at 58.

• The arrow points right.

Explanation:

We are given a linear inequality in terms of a single variable x as:

`3x>174`

on dividing both side of the inequality by 3 we get:

`x>58`

This means that the graph of the inequality is a number line such that the shaded region is to the right of 58 and it goes to infinity.

This means that the arrows point right.

i.e. the solution is: (58,∞)

There is a open circle at 58.

Since, the inequality is strict.