Solve x+10.5<20.2

Question

. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point) explain

Answer 1

To solve the inequality $x+10.5<20.2$, we want to isolate $x$. Here are the steps:

1. Subtract $10.5$ from both sides of the inequality:

   $$x+10.5-10.5<20.2-10.5$$

2. This simplifies to:

   $$x<20.2-10.5$$

3. Now, calculate $20.2-10.5$:

   $$20.2-10.5=9.7$$

4. Therefore, the inequality can be rewritten as:

   $$x<9.7$$

Now, you want the variable $x$ to come first. So, we can write this as:

$$x<9.7$$

This means that $x$ can take any value less than $9.7$.

Explanation:

• We started with the inequality $x+10.5<20.2$ and aimed to isolate $x$.
• By subtracting $10.5$ from both sides, we found the maximum value $x$ can take, which is $9.7$.
• Finally, we expressed the result in the standard form with $x$ coming first in the inequality.