Natalie T. answered 04/04/20
Tutor that Aims for Success
When approaching problems like this, it's important to BREAK IT DOWN! So, let's break this down into steps! Step 1 starting on the left and the final step on the right, just like reading! Step 1: You would write 24 and then, because it is being divided by something, you would make sure that it is the numerator, or the top of the fraction! Step 2: We need to find a denominator, or the bottom of the fraction, which is what is written next, "some number"! You can put any letter to hold the place of the "mystery number", but the most common letter to use is x! Remember, this is the denominator! So, we would put this below 24! The left side of the inequality is complete -> 24/x! Step 3: Inequalities were hard for me to remember at first. Here's a trick! I always see an inequality sign as pac-man and the cool thing is that the pac-man ALWAYS eats, or is open to, the higher number! So, since 24/x is less than 5, that means it CAN'T possibly be bigger than the number 5! So, we would put the pac-man facing away from 24/x and towards the 5! It would look like this, <... Step 4: Finish off the inequality by placing the five on the right side of the pac-man! Final answer: 24/x < 5