Question

Could someone help me find the interval notation for this compound inequality?

x<3 or x >= 5

Answer 1

Interval notation of x<3 is (-∞,3)

Interval notation of x>=5 is [5,+∞)

Explanation:

x<3

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,3)

----------------------

x>=5

Because you entered an equal sign, this translates to [ since we include the number 5.

Based on the ≥ you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

[5,+∞)