Question

1. which of the following values or set of values does not make the inequality ( x < 0 ) true? *** cant be values for x

a. all negative even numbers
b. all negative fractions
c. all negative odd numbers
d. zero

Explanation:

Step1: Analyze the inequality \( x < 0 \)

The inequality \( x < 0 \) means \( x \) must be a negative number. We need to check which option does NOT contain numbers that are all negative (since those numbers would satisfy \( x < 0 \)).

Step2: Analyze each option

• Option a: All negative even numbers. Negative even numbers (like -2, -4, etc.) are less than 0, so they satisfy \( x < 0 \).
• Option b: All negative fractions. Negative fractions (like \( -\frac{1}{2} \), \( -\frac{3}{4} \), etc.) are less than 0, so they satisfy \( x < 0 \).
• Option c: All negative odd numbers. Negative odd numbers (like -1, -3, etc.) are less than 0, so they satisfy \( x < 0 \).
• Option d: Zero. The value of zero is \( 0 \), and \( 0 \) is not less than \( 0 \) (since \( 0 = 0 \), not \( 0 < 0 \)). So zero does not satisfy \( x < 0 \).

Answer:

d. Zero