Write the solution in interval notation x<5 and x>=-2.
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What would the compound inequality look like?
Thanks for the help!
x<5 and x>=-2
is the same as:
x>=-2 and x<5
can be written as:
[-2,5)
Some schools/books write this as:
[-2,5[
The compound inequality for the given conditions x<5 and x>=-2 would be -2 ≤ x < 5.
In interval notation, this can be represented as [-2, 5).
To write the solution in interval notation for the compound inequality x < 5 and x >= -2, we need to consider the overlapping interval between the two inequalities.
First, let's convert the inequalities into interval notation individually:
1) x < 5 can be written as (-∞, 5).
2) x >= -2 can be written as [-2, +∞).
Now, we need to find the intersection of these two intervals, which represents the overlapping part.
For the intersection, we take the common range where both inequalities hold true, which is x >= -2 and x < 5.
To represent this overlapping interval in interval notation, we use square brackets when the inequality includes the number and parentheses when it does not.
Combining the two intervals, we get the solution in interval notation for the compound inequality x < 5 and x >= -2 as:
[-2, 5).