An infinite number line labeled from negative 2 to 10, has tick marks in increments of 1. A shaded region exists to the right of a left parenthesis at 0 and the left of a right bracket between 3 and 4 labeled StartFraction 11 Over 3 EndFraction.
-2-1012345678910
11 divided by 3
Write the solution in interval notation.
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
The shaded region exists to the right of 0 and to the left of StartFraction 11 Over 3 EndFraction.
In interval notation, this can be represented as: (-∞, 11/3)
The shaded region extends from negative infinity (represented by -∞) to the point 11/3.
no
I apologize for my mistake. The correct interval notation for the shaded region existing to the right of 0 and to the left of StartFraction 11 Over 3 EndFraction on the number line is:
(0, 11/3)
To find the solution in interval notation, we need to identify the shaded region between the left parenthesis at 0 and the right bracket between 3 and 4.
The left parenthesis at 0 indicates that 0 is not included in the shaded region. The right bracket between 3 and 4 indicates that 3 is included and 4 is not included in the shaded region.
We also know that the shaded region is to the right of 0, so the solution in interval notation can be written as:
(0, StartFraction 11 Over 3 EndFraction]
This means that the shaded region starts immediately to the right of 0 and includes all values up to and including the fraction 11/3.