Solve the following inequality for p. Write your answer in simplest form. 4p -1 < 3p – 10

Mathematics

1 answer:

Oksanka [162]3 years ago

3 0

Answer:

p < -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define inequality

4p - 1 < 3p - 10

Step 2: Solve for p

Subtract 3p on both sides: p - 1 < -10
Add 1 on both sides: p < -9

Here we see that any number p less than -9 would work as a solution to the inequality.

You might be interested in

Solve. 3^x+1 = 9^5x.

Reptile [31]

Answer:

X= 1/9 decimal form x=0.1

Step-by-step explanation:

3^x+1=3²(5x)

x+1 =2(5x)

solve for x

x=1/9

Exact form: x= 1/9

Decimal form x=0.1

4 0

3 years ago

Read 2 more answers

What is the value of the fourth term in a geometric sequence for which a1=30 and r=1/2

lisov135 [29]

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

8 0

3 years ago

Find the area of the blue area if each square represents 1.5 square meters.

Anni [7]

Check the picture below.

so the picture has a rectangle that is 8 units high and 12 units wide, and it has a couple of "empty" trapezoids, with a height of 5 and "bases" of 9 and 3.

now, if we just take the whole area of the rectangle and then subtract the area of those two trapezoids, what's leftover is the blue area.

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ a=9\\ b=3 \end{cases}\implies \begin{array}{llll} A=\cfrac{5(9+3)}{2}\implies A=30 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large Areas}}{\stackrel{rectangle}{(12\cdot 8)}~~ -~~\stackrel{\textit{two trapezoids}}{2(30)}}\implies 96-60\implies 36$