Solve x/2-1 > -3x 7

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Type your math problem... x/2-1 > -3x 7

Question

Solve the inequality

x > \frac{2}{43}

Alternative Form

x \in (\frac{2}{43}, + \infty)

Evaluate

\frac{x}{2} - 1 > - 3 x \times 7

Multiply the terms

\frac{x}{2} - 1 > - 21 x

Multiply both sides of the inequality by 2

(\frac{x}{2} - 1) \times 2 > - 21 x \times 2

Multiply the terms

More Steps

Multiply the terms

(\frac{x}{2} - 1) \times 2

Apply the distributive property

\frac{x}{2} \times 2 - 2

Reduce the fraction

x - 2

x - 2 > - 21 x \times 2

Multiply the terms

x - 2 > - 42 x

Move the variable to the left side

x - 2 + 42 x > 0

Add the terms

More Steps

Evaluate

x + 42 x

Collect like terms by calculating the sum or difference of their coefficients

(1 + 42) x

Add the numbers

43 x

43 x - 2 > 0

Move the constant to the right side

43 x > 0 + 2

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

43 x > 2

Divide both sides

\frac{43 x}{43} > \frac{2}{43}

Solution

x > \frac{2}{43}

Alternative Form

x \in (\frac{2}{43}, + \infty)

Show Solution

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