Step 2: The inequality suggests that the variable x is allowed to have any values less than or equal to 5, that means all the values on the left of this circle. Step 1: Locate “5” on the number line and mark it with a big circle and fill the circle. Let’s look at the steps on how we can represent an inequality of the form x $\leq$ 5 on a number line. It could be 1 or 2 or 4.5 or 12/5 it could be 15 but not more than that. This means that the variable y is allowed to have any value less than or equal to 15. Let’s take a look at the inequality y $\leq$ 15. It can be used to compare variables or any mathematical elements or any real-life quantities. It provides us with a mathematical expression for the statements “at most, not more than, maximum, and not exceeding”. This symbol where we place a sleeping line below the less than symbol.
Where we combine our “<” and “=” symbol to form “ $\leq$” and we have P $\leq$ 10. These two mathematical statements can be combined into one single statement as Then, mathematically, we can either say that P is less than 10 or that P is equal to 10 i.e., Let’s say David buys a toy worth P dollars. We can also say that the maximum amount he is allowed to spend is $10. This means David could buy a toy worth $3 or $4 or $7 or $8 or even $10 or any other cost as long as he does not exceed his limit of $10. David goes shopping with his mom where she lets him buy any toy for himself as long as its cost is not more than $10. Let’s understand this with the help of a real-life situation. However, in certain cases, when we only have one quantity and we want to make estimates about another quantity comparable with our first one, we use an inequality operator referred to as “ Less than or Equal to ($\leq$)”. For example, 8 carrots are less than 10 carrots is mathematically expressed as 8 < 10. We use “less than” when one quantity is less than the other quantity. For example, 7 mangoes are more than 3 mangoes is mathematically expressed as 7 > 3. We use “greater than” when one quantity is more than the other quantity.
Inequalities make use of the “ greater than (>)” and “ less than (): An equation makes use of the “ equal to (=)” symbol to express the relationship of equality between two quantities. Where equations define the equality between two or more mathematical elements inequalities provide us with the chance of exploration when two quantities are not equal in value but are comparable in nature.
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