Question

Write a compound inequality to represent all of the numbers between -4 and 6. Help me please

Answer 1

Answer:

-4 < x < 6

Step-by-step explanation:

We need to represent all the numbers between -4 and 6, that is -3, -2, -1, 0, 1, 2, 3, 4 and 5.

They are all greater than -4. We generalize it as -4 < x (x is greater than -4).

On the other hand, 6 is greater than all of them, that is x < 6.

As we need to write it as a compound inequality, we just combine the two inequalities we have:

-4 < x < 6 (we write the x just once)

If we want to add the -4 and the 6 in the inequality, we just include them with the appropriate sign:

$-4 \leq x \leq 6$

Answer 2

-4 < n < 6 . . . . . represents all numbers n between -4 and 6 (not inclusive).