What is the name and solution method for this type of equation?

[confused slug]

While reading a paper i have come across an equation in the following form;

a = b - f(c) [itex]\leq[/itex] 1

What is this style of equation called and how do you solve them?



Thanks
Confused

 

[Number Nine]

It's not an equation, it's an inequality (or, half of it is). It means exactly what it says: a is equal to b - f(c), and both are less than or equal to 1. You can't do anything more with it until you know the values of the constants.

 

[confused slug]

Thanks Number Nine. I am not familiar with this

The values are;

a = 1 - 0.8√13 [itex]\leq[/itex] 1


Thx
Confused

 

[haruspex]

The author has determined (by some preceding working) that a = 1 - 0.8√13, and is now pointing out that this value is ≤ 1. Presumably the author needed to show that a ≤ 1, and has now done so.

 

[CellCoree]

Scientist

This type of equation is called an inequality equation. It involves an inequality symbol, in this case the less than or equal to symbol (\leq), which indicates that the values of a and b may not be equal.

To solve this type of equation, you can use algebraic methods such as isolating the variable on one side of the equation, or graphing the equation to find the range of values that satisfy the inequality. It is important to note that the solution to an inequality equation is often a range of values rather than a single numerical value.

In some cases, it may also be helpful to consider the context of the equation and what the variables represent in order to interpret the solution in a meaningful way. It is always important to check your solution by plugging in the values to ensure that the inequality holds true.