SOLUTION: Explain why the solution to ax-1<3 is not x<4/a. Use solutions of the inequality with different values of 'a' to support your explanation.

Algebra.Com
Question 943365: Explain why the solution to ax-1<3 is not x<4/a. Use solutions of the inequality with different values of 'a' to support your explanation.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
It would be x < 4/a IF 'a' were positive (so not negative and nonzero)

If 'a' were negative, then the inequality sign would flip to get x > 4/a

So because we don't know if 'a' is positive or negative, we can't determine the direction of the inequality sign.

Note: 'a' can NEVER equal zero (you cannot divide by zero)

RELATED QUESTIONS

is 15.6 a solution to the inequality b<15? explain why or why... (answered by solver91311)
1. What is the first thing you would do in order to use the quadratic formula to solve... (answered by Alan3354)
1. What is the first thing you would do in order to use the quadratic formula to solve... (answered by Boreal)
1. A) Write the sentence (-x)2 ¹ -x2 in words. In your own words... (answered by stanbon)
Consider the inequality of [x] <4. The solution of this inequality is every value of x... (answered by richard1234)
The length of a string from the center of a yo-yo to its point of contact with Tony's... (answered by greenestamps)
There are many solutions to x > 5. There are many solutions to x ≥ 5. Explain the... (answered by malglu)
Find the solutions to 6x^2 + 5x - 4= 0. Is the sum of your solutions equal to -b/a?... (answered by stanbon)
My question is in regards to an equation in my homework. x^2 + 18x + 58 = 0 I was to... (answered by Fombitz)