12.7<1.56-2x

Answer 1

To solve the inequality \( 12.7 < 1.56 - 2x \), we can follow these steps:

1. Subtract \( 1.56 \) from both sides: \[ 12.7 - 1.56 < -2x \] \[ 11.14 < -2x \]

2. Now, divide both sides by \(-2\). Remember that when you divide or multiply both sides of an inequality by a negative number, you need to reverse the inequality sign: \[ \frac{11.14}{-2} > x \] \[ -5.57 > x \] or \[ x < -5.57 \]

So the solution to the inequality is \( x < -5.57 \).