-59x-19<13

Combine x and 59.

-x⋅59-19<13

Move 5 to the left of x.

-5×9-19<13

-5×9-19<13

Add 19 to both sides of the inequality.

-5×9<13+19

To write 13 as a fraction with a common denominator, multiply by 33.

-5×9<13⋅33+19

Write each expression with a common denominator of 9, by multiplying each by an appropriate factor of 1.

Multiply 13 and 33.

-5×9<33⋅3+19

Multiply 3 by 3.

-5×9<39+19

-5×9<39+19

Combine the numerators over the common denominator.

-5×9<3+19

Add 3 and 1.

-5×9<49

-5×9<49

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

-5x<4

Divide each term in -5x<4 by -5. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-5x-5>4-5

Cancel the common factor of -5.

Cancel the common factor.

-5x-5>4-5

Divide x by 1.

x>4-5

x>4-5

Move the negative in front of the fraction.

x>-45

x>-45

The result can be shown in multiple forms.

Inequality Form:

x>-45

Interval Notation:

(-45,∞)

Solve for x -5/9x-1/9<1/3