Question

|x+3|+7<10

Answer 1

From -6 to 0, non inclusive.

-6<x<0

Answer 2

-6<x<0

Answer 3

can u please give me the steps

Answer 4

i need to show my work

Answer 5

please someone help me

Answer 6

Since 7 does not contain the variableGlossaryvariable A letter used to represent a number value in an expression or an equation. to solve for, move it to the right-hand side of the inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. by subtracting 7 from both sides.

|x+3|<-7+10


Add 10 to -7 to get 3.

|x+3|<3


Remove the absolute value termGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or . This creates a on the right-hand side of the equationGlossaryequation A mathematical statement that says two expressions have the same value; any number sentence with an = . because




SetGlossaryset A well-defined group of objects. up the + portion of the solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. .

x+3<3


Move all termsGlossaryterm Any expression written as a product or quotient. Example: 2xy , , or not containing x to the right-hand side of the inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. . Click here for more detail on this step

x<0


SetGlossaryset A well-defined group of objects. up the - portion of the solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. . When solving the - portion of an inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. , flipGlossaryflip A reflection of a two dimensional shape, a mirror image of a shape. the direction of the inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. sign.

x+3>-(3)


MultiplyGlossarymultiply To compute a product; to perform a multiplication. -1 by the 3 inside the parenthesesGlossaryparentheses Marks of inclusion (symbols: ( and ) ). Parentheses is the plural form of parenthesis. .

x+3>-3


Since 3 does not contain the variableGlossaryvariable A letter used to represent a number value in an expression or an equation. to solve for, move it to the right-hand side of the inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. by subtracting 3 from both sides.

x>-3-3


Subtract 3 from -3 to get -6.

x>-6


The solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. to the inequalityGlossaryinequality A mathematical expression which shows that two quantities are not equal. includes both the positive and negative versions of the absolute value.

x<0 and x>-6


The solutionGlossarysolution 1. The value of a variable that makes an equation true. 2. In chemistry, a solution is a homogeneous mixture composed of only one phase. is the setGlossaryset A well-defined group of objects. of values where

-6<x<0

Answer 7

thank you soooo much

Answer 8

your welcome