SOLUTION: draw the number line graph which is the solution of |x-2| less than 5

Question 118430: draw the number line graph which is the solution of |x-2| less than 5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Break up the absolute value (remember, if you have , then and )

and Break up the absolute value inequality using the given rule

Combine the two inequalities to get a compound inequality

Add 2 to all sides

----------------------------------------------------

Answer:

So our answer is

which looks like this in interval notation

if you wanted to graph the solution set, you would get

Graph of the solution set in blue and the excluded values represented by open circles
RELATED QUESTIONS
Solve the inequality and draw a number line graph f the solution. -7 is less than -2a (answered by tutorcecilia)

solve the compound inequality and graph your solution on a number line: 1/2(x+4)<5 or... (answered by josgarithmetic)

I totally forgot how to do this type of problem. Graph the solution to the inequality (answered by stanbon)

Graph the inequality on a number line. Tell whether the graph is a segment, a ray or... (answered by Theo)

solve the quadratic inequality , and graph the solution on the number line.... (answered by stanbon)

-35/9 less than -5/5n less than 35/6 Solve compound inequality, write its solution set (answered by ikleyn)

graph the solution on the number line -1/5|-2x+3|=-3 *(less than or equal to... (answered by CubeyThePenguin,ikleyn)

Graph the inequality. x � y < 2 (the sign is less or equal than..I couldnt draw the... (answered by mathispowerful)

x +1 is greater than 0 and 3x - 4 is less than 0. Solve the compound inequality and... (answered by stanbon)