Solve -3(z-6)>2z-5

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

- 3 z + 18

- 3 z + 18 > 2 z - 5

Move the expression to the left side

- 3 z + 18 - 2 z > - 5

Move the expression to the right side

- 3 z - 2 z > - 5 - 18

Add and subtract

More Steps

Evaluate

- 3 z - 2 z

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

(- 3 - 2) z

Subtract the numbers

- 5 z

- 5 z > - 5 - 18

Add and subtract

- 5 z > - 23

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

5 z < 23

Divide both sides

\frac{5 z}{5} < \frac{23}{5}

Solution

z < \frac{23}{5}

Alternative Form

z \in (- \infty, \frac{23}{5})

Show Solution

[email protected]

English