SOLUTION: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.

Question 649513: Professor I'm confused with this inequality. |-4x-7| > -4 The answer would be (-infinity,infinity) right? The rules with the signs are confusing. Thank you so much.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


|Ax+B| < or < (negative number)

has no solution

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

|Ax+B| > or > (negative number)

has solution (-infinity, infinity)

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

|Ax+B| < 0 

has no solution

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

|Ax+B| < 0

has one solution x = -B/A

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

|Ax+B| < (positive number)

(negative of positive number) < Ax+B < (positive number)

Solve for x in the middle

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

|Ax+B| < (positive number)

(negative of positive number) < Ax+B < (positive number)

Solve for x in the middle

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

|Ax+B| > (positive number)

Ax+B < (negative of positive number) OR Ax+B > (positive number)

Solve each for x

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


|Ax+B| > (positive number)

Ax+B < (negative of positive number) OR Ax+B > (positive number)

Solve each for x

Edwin

RELATED QUESTIONS
Would someone be able to help me with this problem? The solution to the inequality... (answered by stanbon)

solve compound inequality 4>-5x+3 or 10<=-4x+5 the answer option are a.(-1/5,infinity) b. (answered by Edwin McCravy)

Limits to infinity I'm not sure if this is under the right label or if calculus can... (answered by jim_thompson5910)

can someone help me with this Solve the inequality and graph the solution. p^2 + 9p (answered by joecbaseball)

Professor I'm confused with this inequality problem. /x-2/≤0. The answer would be... (answered by solver91311)

Professor I need help with this problem. 3y+11/y-8 ≤ 0 I think the answer is... (answered by solver91311)

Solve each inequality. graph its solution, and write the solution in set notation.... (answered by jim_thompson5910)

infinity + x = infinity(a larger one) infinity - x = infinity infinity * x = infinity... (answered by Fombitz)