# Solve for x -5/9x-1/9<1/3 -59x-19<13
Simplify each term.
Combine x and 59.
-x⋅59-19<13
Move 5 to the left of x.
-5×9-19<13
-5×9-19<13
Move all terms not containing x to the right side of the inequality.
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 by -5 and simplify.
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,∞)
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