To solve the inequality \( 2x + 10 \geq 12 \), follow these steps:
-
Subtract 10 from both sides:
\[ 2x + 10 - 10 \geq 12 - 10 \]
This simplifies to:
\[ 2x \geq 2 \]
-
Divide both sides by 2:
\[ \frac{2x}{2} \geq \frac{2}{2} \]
This simplifies to:
\[ x \geq 1 \]
Now, to write the inequality so that \( x \) comes first, you can rearrange it:
\[ x \geq 1 \]
This can also be written as:
\[ 1 \leq x \]
Thus, the final inequality is:
\[ x \geq 1 \]
or equivalently,
\[ 1 \leq x \]