Solve 2 (4/-b^2)<0

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Type your math problem... 2 (4/-b^2)<0

Question

Solve the inequality

b \neq = 0

Evaluate

2 (\frac{4}{- b ^{2}}) < 0

Find the domain

More Steps

Evaluate

- b^{2} \neq = 0

Change the signs on both sides of the equation

b^{2} \neq = 0

The only way a power can not be 0 is when the base not equals 0

b \neq = 0

2 (\frac{4}{- b ^{2}}) < 0, b \neq = 0

Simplify

More Steps

Evaluate

2 (\frac{4}{- b ^{2}})

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

2 (- \frac{4}{b ^{2}})

Multiplying or dividing an odd number of negative terms equals a negative

- 2 \times \frac{4}{b ^{2}}

Multiply the terms

- \frac{2 \times 4}{b ^{2}}

Multiply the terms

- \frac{8}{b ^{2}}

- \frac{8}{b ^{2}} < 0

Since the left-hand side is always negative,and the right-hand side is always 0,the statement is true for any value of b

b \in R

Check if the solution is in the defined range

b \in R, b \neq = 0

Solution

b \neq = 0

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