$\dfrac{x+1}{6}<x-\dfrac{3x-2}{4}$skeeter said:
The first step in solving this inequality is to simplify the expressions on both sides of the inequality sign by combining like terms and distributing any coefficients.
The critical values for this inequality can be found by setting the expressions on both sides of the inequality sign equal to each other and solving for x. These values will divide the number line into different intervals.
Yes, you can multiply or divide both sides of the inequality by a negative number. However, you must remember to flip the direction of the inequality sign when doing so.
To graph the solution for this inequality, plot the critical values on a number line and then determine which intervals satisfy the inequality. The solution will be represented by a shaded region on the number line.
Yes, when solving an inequality, it is important to follow the order of operations, just like in solving an equation. Simplify the expressions on both sides of the inequality sign first, then isolate the variable on one side of the inequality, and finally, graph the solution and state the solution in interval notation.
