Question

Solve the inequality t/4 > 7​

Answer 1

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$\frac{t}{4} > 7 \\ \\ = t > 28$

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Answer 2

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Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

t/4-(7)>0

Step by step solution :

STEP

1

:

t

Simplify —

4

Equation at the end of step

1

:

t

— - 7 > 0

4

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

7 7 • 4

7 = — = —————

1 4

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 - (7 • 4) t - 28

——————————— = ——————

4 4

Equation at the end of step

2

:

t - 28

—————— > 0

4

STEP

3

:

3.1 Multiply both sides by 4

Solve Basic Inequality :

3.2 Add 28 to both sides

t > 28