QuestionSolve for $a$ . $a+19 \geq 20$

Studdy Solution

STEP 1

What is this asking? We need to find the smallest possible value for $a$ that makes the given inequality true. Watch out! Don't forget to flip the inequality sign if you multiply or divide both sides by a negative number, but we won't need to do that here!

STEP 2

1. Isolate $a$
2. Final Inequality

STEP 3

We want to get $a$ by itself, so let's subtract $19$ from both sides of the inequality.
Remember, whatever we do to one side, we must do to the other to keep things balanced! $a + 19 - 19 \geq 20 - 19$ This simplifies to: $a \geq 1$ Why did we subtract 19?
Because we're trying to isolate $a$ , and adding $19$ and subtracting $19$ add to zero, which doesn't change the value of the left side, but gets us closer to our goal!

STEP 4

Our final inequality is $a \geq 1$ .
This tells us that $a$ can be any number that is greater than or equal to $\textbf{1}$ .

STEP 5

The solution to the inequality $a + 19 \geq 20$ is $a \geq 1$ .

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