Write an inequality that represents the statement:
x is less than 4 and greater than 1
To write an inequality that represents the statement, "x is less than 4 and greater than 1," we need to break it down into two separate conditions: x being less than 4 and x being greater than 1.
1. x is less than 4: This can be represented as x < 4.
2. x is greater than 1: This can be represented as x > 1.
To combine both conditions, we use the logical operator "and," which is represented by the symbol "∧" or simply by writing the word "and" in plain English.
Thus, the inequality that represents the given statement is:
x < 4 ∧ x > 1