Choose them compound inequality that represents all real numbers that are less then -3 or greater than or equal to 5.
To represent the compound inequality, we can write:
x < -3 or x ≥ 5.
So, the compound inequality that represents all real numbers less than -3 or greater than or equal to 5 is:
x < -3 or x ≥ 5.
To represent the compound inequality that includes all real numbers less than -3 or greater than or equal to 5, we need to combine two separate inequalities using the logical operator "or" (represented by the symbol "∨").
1. The first inequality represents all real numbers less than -3: -∞ < -3
We read this as "x is less than -3".
2. The second inequality represents all real numbers greater than or equal to 5: x ≥ 5
We read this as "x is greater than or equal to 5".
Combining the two inequalities using the logical operator (∨), we get the compound inequality:
x < -3 ∨ x ≥ 5
This compound inequality includes all real numbers that are less than -3 or greater than or equal to 5.