2024年4月7日发(作者：)

用不等式表示的例子

English Answer:

Inequalities are mathematical expressions that compare

two expressions. They use the symbols `<` (less than), `>`

(greater than), `≤` (less than or equal to), and `≥`

(greater than or equal to).

Here are some examples of inequalities:

x < 5: This inequality means that x is less than 5.

y > 10: This inequality means that y is greater than

10.

z ≤ 0: This inequality means that z is less than or

equal to 0.

w ≥ 100: This inequality means that w is greater than

or equal to 100.

Inequalities can be used to represent a variety of

relationships between variables. For example, you could use

an inequality to represent the fact that the temperature

outside is less than 32 degrees Fahrenheit.

Solving inequalities is similar to solving equations.

The goal is to isolate the variable on one side of the

inequality sign. To do this, you can add, subtract,

multiply, or divide both sides of the inequality by the

same number.

However, there is one important difference between

solving equations and solving inequalities. When you

multiply or divide both sides of an inequality by a

negative number, you must reverse the inequality sign.

For example, if you have the inequality x < 5, and you

multiply both sides by -1, you get -x > -5.

Solving inequalities is a valuable skill that can be

used to solve a variety of problems.

中文回答：

不等式是不等号两边的两个表达式的比较。它们使用符号`<`

（小于）、`>`（大于）、`≤`（小于或等于）和`≥`（大于或等

于）。

以下是不等式的一些例子：

x < 5，此不等式表示 x 小于 5。

y > 10，此不等式表示 y 大于 10。

z ≤ 0，此不等式表示 z 小于或等于 0。

w ≥ 100，此不等式表示 w 大于或等于 100。

不等式可用于表示变量之间的各种关系。例如，你可以使用不

等式来表示外部温度低于 32 华氏度。

求解不等式类似于求解方程。目标是在不等号一侧隔离变量。

为此，你可以对不等式的两侧添加、减去、乘以或除以相同的数字。

但是，求解方程和求解不等式之间有一个重要的区别。当你在

不等式的两侧乘以或除以一个负数时，你必须反转不等号。

例如，如果你有不等式 x < 5，并且你在两侧都乘以 -1，则得

到 -x > -5。

求解不等式是一项有价值的技能，可用于解决各种问题。