How do you simplify [tex]2i < 6u[/tex]?

In simplifying inequalities, there are a few things that you have to remember. Here are some:
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Don't multiply or divide by a variable (unless you know it is always positive or always negative)
We simplify as follows: 2i/2<6u/2 i<3u

Answered by taskmasters | 2024-06-10

The inequality 2i < 6u simplifies to i < 3u, indicating that i must be less than 3 times u for the inequality to be true .
To simplify the inequality 2i < 6u, where i and u are variables, we need to isolate one of the variables on one side of the inequality symbol.
Let's start by** dividing** both sides of the inequality by 2:
(2i)/2 < (6u)/2
Simplifying, we have:
i < 3u
So, the** simplified form** of the inequality is i < 3u.
This means that for any given values of i and u, i will be less than 3 times u in order for the inequality to hold true.
For example, if we have i = 2 and u = 1, then 2 < 3(1) is true because 2 is less than 3. But if we have i = 4 and u = 2, then 4 < 3(2) is false because 4 is** not less than **6.
Hence, the inequality 2i < 6u simplifies to i < 3u, indicating that i must be less than 3 times u for the inequality to be true .
Learn more about **inequality **click;
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Answered by astha8579 | 2024-06-17

The inequality 2 i < 6 u simplifies to i < 3 u by dividing both sides by 2. This indicates that the value of i must be less than three times the value of u for the inequality to be true. Testing various values demonstrates how this inequality holds under specific conditions.
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Answered by astha8579 | 2024-12-26