derstanding: 1. Solve for \( x \) and graph: \( \frac{4 x}{3}-2 x<-\frac{6 x}{5}+7 \)

Solve the equation \( \frac{4x}{3}-2x<-\frac{6x}{5}+7 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(\frac{4x}{3}-2x<-\frac{6x}{5}+7\) - step1: Multiply both sides: \(\left(\frac{4x}{3}-2x\right)\times 15<\left(-\frac{6x}{5}+7\right)\times 15\) - step2: Multiply the terms: \(20x-30x<-18x+105\) - step3: Simplify: \(-10x<-18x+105\) - step4: Move the variable to the left side: \(-10x+18x<105\) - step5: Add the terms: \(8x<105\) - step6: Divide both sides: \(\frac{8x}{8}<\frac{105}{8}\) - step7: Divide the numbers: \(x<\frac{105}{8}\) The solution to the inequality \( \frac{4x}{3}-2x<-\frac{6x}{5}+7 \) is \( x < \frac{105}{8} \). To graph the inequality, we need to plot the line \( x = \frac{105}{8} \) and shade the region to the left of the line, as the inequality is less than. The graph will show the region where the inequality is true, which is all values of \( x \) less than \( \frac{105}{8} \).