Question

Predicate 'x is greater than 3':
a) x < 3
b) x > 3
c) x = 3
d) x ≥ 3

Answer 1

The correct answer to the predicate 'x is greater than 3' is b) x > 3, as this represents an inequality where 'x' is exclusively greater than 3, matching the original statement.

Step-by-step explanation:

The predicate 'x is greater than 3' compares a variable 'x' to the number 3.

To represent this statement, we would look for an inequality that expresses that 'x' must be larger than the number 3, not equal to it or less than it. The choices given are a) x < 3, b) x > 3, c) x = 3, and d) x ≥ 3.

The correct answer that matches the predicate is b) x > 3, as this is the only choice where 'x' is exclusively greater than 3.

Answer 2

Imagine a number line! Numbers lesser than 3 live to the left of the big 3, while those greater than 3 reside to the right. To say "x is greater than 3" means x hangs out only on the right side of 3, not including 3 itself. So, the answer is b) x > 3. The correct predicate for "x is greater than 3" is b) x > 3.

Here's why:

Option a) x < 3: This states that x is less than 3, which is the opposite of "greater than 3".

Option c) x = 3: This states that x equals 3, which is not strictly greater than 3.

Option d) x ≥ 3: This states that x is greater than or equal to 3, which includes the case where x is equal to 3. While this is true, it's not as precise as "greater than 3" which excludes x being equal to 3.

Therefore, the most accurate predicate to represent "x is greater than 3" is b) x > 3.