Question

What numbers would make 4a ≤ 16 true?

Answer 1

Any number that is less or equal to 4 makes this inequality true.

Explanation:

In order to calculate the numbers that make this inequality valid, we need to solve it for "a". This can be done in the same manner as we would solve an equation, although we must pay attention to the inequality. This is done below:

`4*a \leq 16\\a \leq 16/4\\a \leq 4`

Any number that is less or equal to 4 makes this inequality true.

Answer 2

Answer: a ≤ 4 or (-∞, 4]

Explanation:

Here we have the inequality:

4a ≤ 16

this means that the left sides is less or equal than the right side.

First, find the equal part:

4*a = 16

a = 16/4 = 4

So the maximum possible value of a is 4.

Now, all the values of a smaller than 4 also make the inequality true (even the negative values) so the possible values of a are:

a ≤ 4 or (-∞, 4]