Solve x/3-1>x/2 - ScanMath

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

Question

Solve the inequality

x < - 6

Alternative Form

x \in (- \infty, - 6)

Evaluate

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

Multiply both sides of the inequality by 6

(\frac{x}{3} - 1) \times 6 > \frac{x}{2} \times 6

Multiply the terms

More Steps

Multiply the terms

(\frac{x}{3} - 1) \times 6

Apply the distributive property

\frac{x}{3} \times 6 - 6

Reduce the fraction

x \times 2 - 6

Multiply the terms

2 x - 6

2 x - 6 > \frac{x}{2} \times 6

Multiply the terms

More Steps

Multiply the terms

\frac{x}{2} \times 6

Reduce the fraction

x \times 3

Multiply the terms

3 x

2 x - 6 > 3 x

Move the variable to the left side

2 x - 6 - 3 x > 0

Subtract the terms

More Steps

Evaluate

2 x - 3 x

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

(2 - 3) x

Subtract the numbers

- x

- x - 6 > 0

Move the constant to the right side

- x > 0 + 6

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

- x > 6

Solution

x < - 6

Alternative Form

x \in (- \infty, - 6)

Show Solution

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