Solve 6(x-1)-(3x 11) < -7

Evaluate

6 (x - 1) - (3 x \times 11) < - 7

Multiply the terms

6 (x - 1) - 33 x < - 7

Move the expression to the left side

6 (x - 1) - 33 x - (- 7) < 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

6 (x - 1) - 33 x + 7 < 0

Calculate the sum or difference

More Steps

- 27 x + 1 < 0

Move the constant to the right side

- 27 x < 0 - 1

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

- 27 x < - 1

Change the signs on both sides of the inequality and flip the inequality sign

27 x > 1

Divide both sides

\frac{27 x}{27} > \frac{1}{27}

Solution

x > \frac{1}{27}

Alternative Form

x \in (\frac{1}{27}, + \infty)

Solve the inequality