How is an inequality different from an equation? Give a real-world scenario in which you would write an inequality rather than an equation
if you only have $10.00, how many apples can you get if they cost $1.50 each?
1.50 x <= 10.00
An inequality is different from an equation because it represents a relationship between two expressions that are not necessarily equal. In an inequality, we use symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to) to express the relationship between the expressions.
An equation, on the other hand, represents a relationship between two expressions that are equal. In an equation, we use an equals sign (=) to show that the expressions on both sides of the equation are equivalent.
To illustrate the difference, let's consider a real-world scenario. Imagine you are going shopping and you have a certain amount of money to spend. In this case, you may want to write an inequality to represent your budget constraint rather than an equation.
For example, let's say you have $100 to spend on groceries. If you write an equation, you would be stating that you spend exactly $100 on groceries, which might not be realistic. However, if you write an inequality, you can represent different spending scenarios.
For instance, you could write the inequality "x ≤ 100", where "x" represents the amount you spend on groceries. This inequality states that you can spend any amount up to $100, but not more than that. It allows for flexibility in spending, as you can spend less than $100 but not more.
So, in this scenario, writing an inequality is more appropriate because it allows for a range of possible solutions rather than requiring an exact equality.