Solve r*r^3-16≥-17

Evaluate

r \times r^{3} - 16 \geq - 17

Multiply the terms

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r^{4} - 16 \geq - 17

Move the expression to the left side

r^{4} - 16 - (- 17) \geq 0

Subtract the numbers

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r^{4} + 1 \geq 0

Rewrite the expression

r^{4} + 1 = 0

Move the constant to the right-hand side and change its sign

r^{4} = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

r^{4} = - 1

Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of r

r \in / R

There are no key numbers,so choose any value to test,for example r = 0

r = 0

Solution

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r \in R

Alternative Form

All real solution

Solve the inequality