Solve 2-rad(3-4x)>=0 - ScanMath

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Type your math problem... 2-rad(3-4x)>=0

Question

Solve the inequality

a < 0, d < 0, r < 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d < 0, r > 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d > 0, r < 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d > 0, r > 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d < 0, r < 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d < 0, r > 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d > 0, r < 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d > 0, r > 0, x \geq \frac{- 2 + 3 r a d}{4 r a d}

Evaluate

2 - r a d (3 - 4 x) \geq 0

Calculate

More Steps

2 - 3 r a d + 4 r a d x \geq 0

Move the constant to the right side

4 r a d x \geq 0 - (2 - 3 r a d)

Subtract the terms

More Steps

4 r a d x \geq - 2 + 3 r a d

Divide both sides

\frac{4 r a d x}{4 r a d} \geq \frac{- 2 + 3 r a d}{4 r a d}

Divide the numbers

x \geq \frac{- 2 + 3 r a d}{4 r a d}

Rewrite the inequalities

{x \geq \frac{- 2 + 3 r a d}{4 r a d} r a d > 0 {x \leq \frac{- 2 + 3 r a d}{4 r a d} r a d < 0

Calculate

More Steps

⎩ ⎨ ⎧ x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r > 0 ⎩ ⎨ ⎧ a < 0 d > 0 r < 0 ⎩ ⎨ ⎧ a > 0 d < 0 r < 0 ⎩ ⎨ ⎧ a > 0 d > 0 r > 0 {x \leq \frac{- 2 + 3 r a d}{4 r a d} r a d < 0

Calculate

More Steps

⎩ ⎨ ⎧ x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r > 0 ⎩ ⎨ ⎧ a < 0 d > 0 r < 0 ⎩ ⎨ ⎧ a > 0 d < 0 r < 0 ⎩ ⎨ ⎧ a > 0 d > 0 r > 0 ⎩ ⎨ ⎧ x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r < 0 ⎩ ⎨ ⎧ a < 0 d > 0 r > 0 ⎩ ⎨ ⎧ a > 0 d < 0 r > 0 ⎩ ⎨ ⎧ a > 0 d > 0 r < 0

Calculate

⎩ ⎨ ⎧ a < 0 d < 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d > 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d < 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d > 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r < 0 ⎩ ⎨ ⎧ a < 0 d > 0 r > 0 ⎩ ⎨ ⎧ a > 0 d < 0 r > 0 ⎩ ⎨ ⎧ a > 0 d > 0 r < 0

Calculate

⎩ ⎨ ⎧ a < 0 d < 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d > 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d < 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d > 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r < 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d > 0 r > 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d < 0 r > 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d > 0 r < 0 x \leq \frac{- 2 + 3 r a d}{4 r a d}

Rearrange the terms

⎩ ⎨ ⎧ a < 0 d < 0 r < 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d < 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d > 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a < 0 d > 0 r > 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d < 0 r < 0 x \geq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d < 0 r > 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d > 0 r < 0 x \leq \frac{- 2 + 3 r a d}{4 r a d} ⎩ ⎨ ⎧ a > 0 d > 0 r > 0 x \geq \frac{- 2 + 3 r a d}{4 r a d}

Solution

a < 0, d < 0, r < 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d < 0, r > 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d > 0, r < 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a < 0, d > 0, r > 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d < 0, r < 0, x \geq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d < 0, r > 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d > 0, r < 0, x \leq \frac{- 2 + 3 r a d}{4 r a d} a > 0, d > 0, r > 0, x \geq \frac{- 2 + 3 r a d}{4 r a d}

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