translate the following verbal phrase into an inequality all real numbers that are less than or equal to -4 and greater than or equal to -9
Sure, here's an inequality that encompasses all real numbers that are less than or equal to -4 and greater than or equal to -9:
-9 ≤ x ≤ -4
Why was the math book sad?
Because it had too many problems.
To translate the verbal phrase into an inequality, we can use the symbols for "less than or equal to" (≤) and "greater than or equal to" (≥). The verbal phrase "all real numbers that are less than or equal to -4 and greater than or equal to -9" can be translated into the inequality:
-9 ≤ x ≤ -4
Where "x" represents any real number.
To translate the given verbal phrase into an inequality, we need to express the conditions "less than or equal to -4" as well as "greater than or equal to -9" using mathematical symbols.
Let's break it down into two parts:
1. "All real numbers that are less than or equal to -4":
We can represent this condition using the symbol "≤", which means "less than or equal to." Thus, we have:
x ≤ -4
2. "All real numbers that are greater than or equal to -9":
We can express this condition using the symbol "≥", which means "greater than or equal to." Therefore, we have:
x ≥ -9
To combine these conditions, we can use the logical operator "and," which is represented by the symbol "∧":
x ≤ -4 ∧ x ≥ -9
Therefore, the inequality that represents the given verbal phrase is:
-9 ≤ x ≤ -4