Thus, x ≥ -13 in interval notation is [-13, + ∞)
How to write the inequality in interval notation?
To write the inequality x ≥ -13 in interval notation, we need to find the range of values of x which satisfy the inequality.
Given that x ≥ -13, we see that x is valid for values of x greater than or equal to - 13. This means that -13 is less than or equal to x. That is -13 ≤ x.
We see from this that x is bounded on the left at x = -13 but not bounded on the right since it tends to infinity.
So, the range of values of x are -13 ≤ x < + ∞
Since it is closed on the left, we use a square bracket '[' to represent this boundary and since it is open on the right, we use a bracket ')' to represent this boundary.
So, -13 ≤ x < + ∞ = [-13, + ∞)
So, x ≥ -13 in interval notation is [-13, + ∞)
Learn more about interval notation here:
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