An infinite number line labeled from negative 10 to 10, has tick marks in increments of 1. The region to the right of a left parenthesis labeled nine fourths is shaded.
-10-8-6-4-20246810
9 divided by 4
Write the answer in interval notation.
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(Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
(9/4, 10]
no
[9/4, 10]
noo
Apologies for the confusion. The correct interval notation should be:
(9/4, ∞)
To find the answer in interval notation, we need to understand what the shaded region represents.
The left parenthesis labeled "nine fourths" indicates a point on the number line that is 9/4 or 2.25 units to the right of the 0 mark. Since the number line has increments of 1, we can think of the point as being 2 units away from 2 and a quarter.
So, the shaded region represents all the numbers to the right of 9/4 (2.25) on the number line.
In interval notation, we use parentheses to indicate non-inclusive endpoints, and brackets to indicate inclusive endpoints.
Since the shaded region starts from the point 9/4 (2.25) and extends to positive infinity, we write the answer in interval notation as follows:
(9/4, +∞)