To solve the inequality , you can start by getting rid of the fraction. Multiply both sides of the inequality by 2 (remember, multiplying by a positive number doesn’t change the direction of the inequality):

So, for any value of that is less than or equal to -1.5, the original inequality holds true. This means you can pick any number less than or equal to -1.5 for and it will satisfy the inequality.

Feeling like you wouldn’t use negative numbers much? Think again! Negative values are common in real-world situations, such as temperatures below freezing or financial deficits. Understanding how to handle inequalities with them is essential for grasping concepts in math, physics, and even finance.

When solving inequalities, a common mistake is neglecting to reverse the inequality sign when multiplying or dividing by a negative number. However, in this problem, you kept everything smooth sailing because all multiplications were with positive values! Solid work! Also, just double-check your divisions; it’s easy to slip up when numbers start flying around.