SOLUTION: I need to solve the following inequalities and show on a real number line. 5x-2>2(1+3x)-x

Question 70627: I need to solve the following inequalities and show on a real number line.
5x-2>2(1+3x)-x
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
5x-2 > 2(1+3x)-x
.
This is a "Trick" Problem
.
You can begin by treating this just like an equation as far as the math is concerned.
First do the multiplication on the right side. Multiply 2 times (1+3x). When you do that the
problem becomes:
.
5x - 2 > 2 + 6x - x
.
Next combine the 6x and -x on the right side. The inequality becomes:
.
5x - 2 > 2 + 5x
.
To get rid of the -2 on the left side, add +2 to both sides. The inequality is then
.
5x > 4 + 5x
.
You may see the problem at this point. How can you add +4 to something (on the right side)
and have it be less than the something without the 4 (left side)? But let's continue.
To eliminate the 5x on the right side, add -5x to both sides. The inequality then becomes:
.
0 > 4
.
That sure isn't true. This tells you that there is NO value of x that will make the original
inequality true. The original inequality has been reduced to something that can never be
true. Don't mark any regions on the number line.
.
Somebody was trying to sneak this problem by you. It probably made you think about
inequalities, though, and that may have been the purpose of the exercise ... just to
get you to think.
RELATED QUESTIONS
I need to solve the following inequalities and show on the real number line.... (answered by bucky)

Please help me to solve the following linear Inequalities and show your answer on a... (answered by CubeyThePenguin)

solve the following inequalities, represent the solution on a number line. -2(x_4)>x+5. (answered by josgarithmetic)

Solve each o the inequalities and graph each solution set on a real number line 1/2 x +... (answered by CubeyThePenguin)

Solve the following inequalities by stating the solution set or on a number line. Show... (answered by ikleyn)

Solve the following equations and inequalities. For b and c, graph the solutions on a... (answered by stanbon)

Solve the following inequalities and graph the solutions on the number line. 2(x-5)-<... (answered by asdfg123)

Solve the following inequalities by stating the solution set or on a number line. Show... (answered by Boreal,ikleyn)