Which is the solution to p7+11>15?

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

The correct graph is the second one, with the points being at (-6,0), (2,0) and reaching down to (-2,-8)