Yes, the inequality holds for all positive values of x. This means that for any positive number you choose for x, the inequality will still hold.
The inequality is an expression that compares two quantities using the symbols <, >, ≤, or ≥. In this case, it is asking whether the inequality holds true for all positive values of x, meaning that the two quantities being compared must be related to positive values of x.
Yes, for example, let x = 5. The inequality would then be written as 5 < 10, which is true since 5 is less than 10. This example shows that the inequality holds for the positive value of x = 5.
Yes, the inequality can be proven to hold for all positive values of x using mathematical induction. This method involves showing that the inequality holds for a specific value of x, and then showing that if it holds for any positive integer k, it must also hold for k+1. This process can be repeated indefinitely, proving that the inequality holds for all positive values of x.
It is important to note that the inequality only holds for positive values of x. If you are working with negative values of x, the inequality may not hold and you may need to use a different method or adjust the inequality accordingly.