Question

Solve the inequality then graph the solutions. x5≤7

Answer 1

x>4

Answer 2

If x > 0

then x^5 ≤ 7
x ≤ 7^(1/5) or the fifth root of 7
x ≤ 1.476

It will be true for all values of x ≤ 0 , the 5th root of a negative number will be negative, therefore it will be x^5 ≤ 7 for all negative
e.g. (-4)^(1/5) = -1.319.. which is ≤ 1.476

so x ≤ 7^(1/5)

Answer 3

[AI-generated answer — Explain Bot]

To solve the inequality x + 5 ≤ 7, we need to isolate the variable x.

Here are the steps to do that:

Step 1: Subtract 5 from both sides of the inequality:
x + 5 - 5 ≤ 7 - 5
x ≤ 2

So, the solution to the inequality is x ≤ 2.

To graph the solutions, we can represent the solution set on a number line:

Draw a horizontal number line and mark 0, 1, 2, and any other relevant numbers on it.

Then, shade the region to the left of 2 on the number line to represent the solutions. Since the inequality is inclusive (x ≤ 2), we include the point 2.

The graph will look like this:
```
--------[=========]
-∞ 2
```
The shaded region represents all the values of x that satisfy the inequality x + 5 ≤ 7, which is x ≤ 2.