Question

Which number line best represents the solution of the inequality
−
5
3
>
2
x
+
1
?


A number line is shown from negative three to three. There are two equally spaced line segments in between zero and negative one. An open circle is on the second line segment to the left of zero. A ray extends from the open circle to the left, toward negative three.


A number line is shown from negative three to three. There are two equally spaced line segments in between negative one and negative two. A closed circle is on the first line segment to the left of negative one. A ray extends from the closed circle to the right, toward three.


A number line is shown from negative three to three. There are two equally spaced line segments in between negative one and negative two. A closed circle is on the first line segment to the left of negative one. A ray extends from the closed circle to the left, toward negative three.


A number line is shown from negative three to three. There are two equally spaced line segments in between negative one and negative two. An open circle is on the first line segment to the left of negative one. A ray extends from the open circle to the left, toward negative three.

Answer 1

Solve: -5/3 > 2x + 1
2x + 1 < -5/3 => 2x < -5/3 - 1 = -8/3 => x < -8/6 = -4/3.

-4/3 = -1.333..., which is the first tick to the left of -1. Because the inequality is strict (<) use an open circle and shade left. That matches the fourth description.