Answer: t < -12
Explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "/-2" was replaced by "/(-2)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than a sign from both sides of the inequality :
t/(-2)-(6)>0
Step by step solution :
STEP 1.
Simplify : t / -2
Equation at the end of step 1:
t
---- - 6 > 0
- 2
STEP 2:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -2 as the denominator :
6 6 • -2
6 = — = ——————
1 -2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
t • -1 - (6 • 2) -t - 12
———————————————— = ———————
2 2
STEP 3 :
Pulling out like terms :
3.1 Pull out like factors :
-t - 12 = -1 • (t + 12)
Equation at the end of step 3:
-t - 12
——————— > 0
2
STEP 4 :
4.1 Multiply both sides by 2
4.2 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
t+12 < 0
Solve Basic Inequality :
4.3 Subtract 12 from both sides
t < -12