Write the following as an inequality -8 is less than x and 2 is greater than x. Use x only once in inequality
-8 < x <2
Saying 2 is greater than x is the same as saying x is less than 2.
Is this really right?
To write the inequality with the given conditions using x only once, we can use the logical operator "and" to combine the two statements.
The inequality -8 is less than x and 2 is greater than x can be written as:
-8 < x < 2
To write the given information as a compound inequality with only one variable, we first need to break down the two conditions.
1) "-8 is less than x" can be represented as -8 < x.
2) "2 is greater than x" can be represented as 2 > x.
Now, to combine these two conditions into a single inequality, we use the word "and" to connect them.
Therefore, the compound inequality becomes:
-8 < x < 2.
This inequality states that x must be greater than -8 and less than 2.