Question 389671
3x+2(x+4)<6

Multiply 2 by each term inside the parentheses.
3x+2x+8<6

Since 3x and 2x are like terms, add 2x to 3x to get 5x.
5x+8<6

Since 8 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 8 from both sides.
5x<-8+6

Add 6 to -8 to get -2.
5x<-2

Divide each term in the inequality by 5.
(5x)/(5)<-(2)/(5)

Simplify the left-hand side of the inequality by canceling the common factors.
x<-(2)/(5)




3(x-1)-x>2x+1

Multiply 3 by each term inside the parentheses.
3x-3-x>2x+1

Since 3x and -x are like terms, add -x to 3x to get 2x.
2x-3>2x+1

Since 2x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting 2x from both sides.
2x-3-2x>1

Since 2x and -2x are like terms, add -2x to 2x to get 0.
0-3>1

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
-3>1

Since -3<1, there are no solutions.
No Solution




-2x<=10

Divide each term in the inequality by -2.
-(2x)/(-2)>=(10)/(-2)

Simplify the left-hand side of the inequality by canceling the common factors.
x>=(10)/(-2)

Simplify the right-hand side of the inequality by simplifying each term.
x>=-5




On the last problem, I need to make sure that is an equal sign on &#8805;-(2x=5),
it seems it sould be another inequality symbol.