Question

Which of the following is the solution set of x < 5?

A) x = {5, 4, 3, 2, 1, ... }
B) x = {5, 6, 7, 8, 9, ... }
C) x = {4, 3, 2, 1, ... }
D) x = {3, 4, 5, 6, 7, ... }

with solution pls, show the solution how did you get the answer​

Answer 1

The correct answer is B) x = {5, 6, 7, 8, 9, ... }.

To see why, let's break down the inequality x < 5. This inequality means that x can be any number that is less than 5, but not including 5 itself. In other words, x can be any number in the open interval (-∞, 5).

The solution set for this inequality is any set of numbers that satisfies this condition. The set of numbers in option B) {5, 6, 7, 8, 9, ... } is the only set that satisfies this condition, since all of these numbers are less than 5.

Option A) {5, 4, 3, 2, 1, ... } includes 5, which is not a solution to the inequality x < 5.

Option C) {4, 3, 2, 1, ... } does not include any numbers greater than or equal to 5, so it does not satisfy the inequality x < 5.

Option D) {3, 4, 5, 6, 7, ... } includes 5, which is not a solution to the inequality x < 5.

Answer 2

The best answer from the options provided is C, because "x<5" means all the numbers less than 5 and answer C only has integers that are less than 5.

Now C isn't a perfect answer, because C leaves out all the other fractions and decimals like 4.3 and 3/4 that are also less than 5, but aren't in answer C.

But given your choices, A, B, and D are not the answer, since they all have a number included that's greater than OR equal to 5.