Solve -(4)/(7)y-(1)/(14) < 0 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$- \frac{ 4 }{ 7 } y- \frac{ 1 }{ 14 } < 0$$

Solve for y

$y>-\frac{1}{8}$

Solution Steps

Add $\frac{1}{14}$ to both sides. Anything plus zero gives itself.

$$-\frac{4}{7}y<\frac{1}{14}$$

Multiply both sides by $-\frac{7}{4}$, the reciprocal of $-\frac{4}{7}$. Since $-\frac{4}{7}$ is negative, the inequality direction is changed.

$$y>\frac{1}{14}\left(-\frac{7}{4}\right)$$

Multiply $\frac{1}{14}$ times $-\frac{7}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$y>\frac{1\left(-7\right)}{14\times 4}$$

Do the multiplications in the fraction $\frac{1\left(-7\right)}{14\times 4}$.

$$y>\frac{-7}{56}$$

Reduce the fraction $\frac{-7}{56}$ to lowest terms by extracting and canceling out $7$.

$$y>-\frac{1}{8}$$