-2/5 - 9 < 9/10

Answer 1

To solve this inequality, we can begin by simplifying both sides:

-2/5 - 9 < 9/10

First, let's find the common denominator for the fractions involved, which is 10:

-2/5 * 10/10 - 9 < 9/10

-20/50 - 9 < 9/10

Next, let's simplify the left side:

-20/50 - 9 = -20/50 - 450/50 = -470/50

Now, we have:

-470/50 < 9/10

To eliminate the fractions, we can multiply both sides by 50 and 10, respectively. However, since we know that 50 is a multiple of 10, we only need to multiply both sides by 50:

(-470/50) * 50 < (9/10) * 50

This simplifies to:

-470 < 45

Since -470 is less than 45, the inequality is true. Therefore, the statement -2/5 - 9 < 9/10 is true.