-3(3p-1)<7p+51 help pl

p > -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-3(3p - 1) < 7p + 51

Step 2: Solve for p

Distribute -3:                             -9p + 3 < 7p + 51Add 9p to both sides:              3 < 16p + 51Subtract 51 on both sides:       -48 < 16pDivide 16 on both sides:          -3 < pRewrite:                                    p > -3

Here we see that any value p greater than -3 would work as a solution to the inequality.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote