High School

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Solve for [tex]a[/tex].

[tex]208 \geq a - 783[/tex]

Answer :

To solve the inequality [tex]\( 208 \geq a - 783 \)[/tex], we need to isolate the variable [tex]\( a \)[/tex]. Here's how you can do it step-by-step:

1. Start with the given inequality:
[tex]\[
208 \geq a - 783
\][/tex]

2. To isolate [tex]\( a \)[/tex], add 783 to both sides of the inequality. This step will help us get rid of the [tex]\(-783\)[/tex] on the right side:
[tex]\[
208 + 783 \geq a
\][/tex]

3. Perform the addition on the left side:
[tex]\[
991 \geq a
\][/tex]

4. The inequality [tex]\( 991 \geq a \)[/tex] can also be written as [tex]\( a \leq 991 \)[/tex].

So, the solution to the inequality is:
[tex]\[
a \leq 991
\][/tex]

This means that the value of [tex]\( a \)[/tex] can be any number less than or equal to 991.

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