Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
(p)/(7)+11-(15)>0
Step by step solution :
STEP
1
:
p
Simplify —
7
Equation at the end of step
1
:
p
(— + 11) - 15 > 0
7
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 7 as the denominator :
11 11 • 7
11 = —— = ——————
1 7
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:
p + 11 • 7 p + 77
—————————— = ——————
7 7
Equation at the end of step
2
:
(p + 77)
———————— - 15 > 0
7
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 7 as the denominator :
15 15 • 7
15 = —— = ——————
1 7
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
(p+77) - (15 • 7) p - 28
————————————————— = ——————
7 7
Equation at the end of step
3
:
p - 28
—————— > 0
7
STEP
4
:
4.1 Multiply both sides by 7
Solve Basic Inequality :
4.2 Add 28 to both sides
p > 28
Inequality Plot :
4.3 Inequality plot for
0.143 p - 4.000 > 0