Solve this inequality: \( 4.2 x+5.6<7.2-8.3 x \) Step 1: Isolate the constant term on the left side of the inequality by the inequality \[ \begin{array}{l}\text { adding } 4.2 x \text { to } \\ \text { subtracting } 4.2 x \text { from } \\ \text { multiplying by } 4.2 x \text { on } \\ \text { dividing by by } 4.2 x \text { on }\end{array} \]

To isolate the constant term on the left side of the inequality \(4.2x + 5.6 < 7.2 - 8.3x\), you should add \(8.3x\) to both sides. This gives you: \[ 4.2x + 8.3x + 5.6 < 7.2 \] By combining like terms, you simplify the left side to \(12.5x + 5.6 < 7.2\). Next, subtract \(5.6\) from both sides to get: \[ 12.5x < 1.6 \] Now, you can divide by \(12.5\) to solve for \(x\): \[ x < \frac{1.6}{12.5} \] That gives you \(x < 0.128\). Now that we’ve solved the inequality, keep in mind that checking your work is a good practice—plugging in numbers into the original inequality can confirm if your solution is correct. Also, remember that inequalities can be a little finicky. If you ever multiply or divide by a negative number while solving, you’ll need to flip the inequality sign—just a little quirk to keep in mind as you tackle more math challenges!