T/-2 (<--this is a fraction) is less than 6

t < -12

Step-by-step 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

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.