Answer:
x < 3
Step-by-step explanation:
Topic: Linear Equalities
1. Group all constants on the right side of the inequality
19 - 2x > 13
Subtract 19 from both sides:
19 - 2x - 19 > 13 - 19
Group like terms:
-2x + 19 - 19 > 13 - 19
Simplify the arithmetic:
-2x > 13 - 19
Simplify the arithmetic:
-2x > -6
2. Isolate the x
-2x > -6
Divide both sides by-2:
When dividing or multiplying by a negative number, always flip the inequality sign:
-2x/-2 < -6/-2
Cancel out the negatives:
2x/2 < -6/-2
Simplify the fraction:
x < -6/-2
Cancel out the negatives:
x < 6/2
Find the greatest common factor of the numerator and denominator:
x < 3 · 2/ 1 · 2
Factor out and cancel the greatest common factor:
x < 3
3. Solution on a coordinate plane
Solution:
x < 3
Interval Notation:
(-[tex]\infty}[/tex] , 3)
