# algebra 2

i need help solving these inequalities i'm not sure if i should factor things out or not

4x^3 is greater than or equal to 16x

and

4 is greater than or equal to 2x^3 + 8x

1. 👍 0
2. 👎 0
3. 👁 161
1. Yes, you can factor out numbers which are positive as in equations.

4x>16 can be written as
x>4
(common factor 4 is positive.)

If the factor is negative, you can still factor it out, but you will need to reverse the sign of inequality.

-5x ≥ 40
x ≤ 40/(-5)
x ≤ -8
(common factor -5 is negative)

If the sign of the factor is unknown, then you'll have to make different cases:

ax > ab
x > b (if a>0)
x < b (if a<0)
x is undefined if a=0

1. 👍 0
2. 👎 0
2. -y-4+2y>11

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

Which inequality represents the graph shown below ? -5___________0____________5 I don't understand it This is Solving MultiStep Inequalities Quiz Part 1

asked by Frost on October 30, 2019
2. ### linear algebra

1.solve x-7>10 a.x>3 b.x>7 c.x>17 d.x>70 this is for the solving multiple step inequalities please help with all ten questions i have 1.a 2.d 3.c 4.c 5.b 6.d 7.c 8.d 9.b 10.b warning these are what i have and are not correct

asked by stewpeed connexus kid on December 5, 2018
3. ### science help

Two factors which cause global climate change are listed below. Factor 1: Volcanic eruptions. Factor 2: Changes in the amount of Sun’s heat received by the Earth’s atmosphere and surface. Which of these statements is correct

asked by Oscar on March 22, 2016
4. ### science

which of the following distinguishes living things from nonliving things? A. living things are made up of cells; nonliving things are not** B. living things are made up of atoms; nonliving things are not C. living things are made

asked by hey on October 22, 2019
5. ### algebra1

What steps do I take in solving this problem? It is about graphing inequalities. 10x+4¡Ý9x+17 put the equation in the form of y ? x + constant. ? means greater than or less than. That is the first step. You are getting no more

asked by keshia on March 23, 2007
1. ### Math

Joshua wants to know if x−5 is a factor of the polynomial P(x)=x^3−5x^2−x+5. Joshua calculates P(5) and applies the Factor Theorem to conclude that x−5 is not a factor of P(x). Is Josh's conclusion that x−5 is not a

asked by HELPPLSS!!! on March 16, 2020
2. ### Algebra

Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x - 3y + 5z =3 (2) 3x - 2y + 5z=1 (3) my teacher gave me the answer

asked by Clyde on April 25, 2016
3. ### Algebra

Solving Inequalities Unit Test. Which number is a solution of the inequality? g> 6.4 a. 7 b. 6 c. 6.4 d. -7

asked by Algebra Help on October 28, 2019
4. ### sociology

Hume would agree with which statement about ethics? (Points : 1) There is a direct connection between the way that things are and the way they ought to be. Just because certain things are, does not mean that is the way they ought

asked by chistopher prysock on February 21, 2015
5. ### Math

Solve the compound inequalities. Write the solutions in interval notation. Graph your solution on a number line. 1. 2(3x + 1)< -10 or 3(2x - 4) ¡Ý 0 The or means union of these inequalities. 2. 5(p + 3) + 4 > p - 1 or 4(p - 1) +

asked by Neil on August 30, 2012
6. ### math

Suppose you need \$2.40 in postage to mail a package to a friend. You have 9 stamps, some \$0.20 and some \$0.34. How many of each do you need to mail the package? So to solve this problem, I came up with two inequalities: 1. a + b

asked by Angie on April 10, 2009