SAT Number Line

Algebra Level 2

Which inequality is represented by the number line above ?

(A) $\ \ x > 5$
(B) $\ \ x > 6$
(C) $\ \ x > 7$
(D) $\ \ x \geq 6$
(E) $\ \ x < 6$

A B C D E

1 solution

Tatiana Georgieva Staff
Feb 3, 2015

Correct Answer: B

Solution:

Tip: Only assume that the tick marks are equally spaced, nothing more.
First, we find the position of the white circle. It is above the tick mark that is half way between 5 and 7, hence it has value of $\frac{ 5 + 7 } { 2 } = 6.$

Second, because the circle is white, it tells us that it doesn't include the value 6.

Third, because the arrow goes to the right, we know we want the values that are greater than 6.

Hence, the answer is (B) $x > 6$ .

Incorrect Choices:

(A)
Tip: Just because a number appears in the question doesn’t mean it is the answer.
If you do not find the value of the tick mark and instead you use the first number that appears in the diagram, you will get this wrong answer.

(C)
Tip: Just because a number appears in the question doesn’t mean it is the answer.
You will get this wrong answer if you do not find the value of the tick mark and instead you use the first shown number that falls in the bolded interval.

(D)
If you do not notice that the circle is empty, you may get this wrong answer. Remember that an empty circle means that that number is excluded from the interval.

(E)
If you do not notice that the arrow points to the right, you may get this wrong answer.

SAT Number Line

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