High School

What inequality represents the verbal expression "all real numbers less than 69"?

C. \( x > 69 \)

D. \( x < 69 \)

Answer :

The inequality that represents the verbal expression "all real numbers less than 69" is option D: x < 69.

When we say "less than 69," it means any value that is smaller or lower than 69. In inequality, the "<" symbol denotes "less than." Thus, x < 69 implies that x can take on any value that is smaller than 69.

On the number line, all the numbers to the left of 69 satisfy the inequality x < 69. This includes all negative numbers and any positive numbers that are less than 69. For example, x could be -10, -50, or 68.5, among other values.

In conclusion, x < 69 accurately represents the verbal expression "all real numbers less than 69" by indicating that x can take on any value that is smaller than 69.

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Answer: C.

Step-by-step explanation: Because the inequality x>69 means that all real numbers like 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68, 69 are less than X and D means all real numbers are greater than X.