12.37<1.56-2x

Answer 1

To solve the inequality \( 12.37 < 1.56 - 2x \), follow these steps:

1. Subtract \( 1.56 \) from both sides to isolate the term with \( x \):

\[ 12.37 - 1.56 < -2x \]

2. Calculate \( 12.37 - 1.56 \):

\[ 10.81 < -2x \]

3. Divide both sides by \( -2 \). Remember that dividing or multiplying by a negative number flips the inequality sign:

\[ \frac{10.81}{-2} > x \]

4. Calculate \( \frac{10.81}{-2} \):

\[ -5.405 > x \]

5. This can be written as:

\[ x < -5.405 \]

So the solution to the inequality is:

\[ x < -5.405 \]