Algebra
posted by Jackie C .
Solve each inequality algebraically:how do I solve this problem? What is the answer? Show the work.
x+4/x2 less than equal 1 thanks for your help

(x+4)/(x2) <= 1
If x2>0, then
x+4 <= x2
4 < 2
no solutions there
If x2 < 0,
x+4 >= x2
4 >= 2
so all x's are a solution. But our condition was that x2 < 0, so
x < 2
Makes sense, since there is a horizontal asymptote at y = 1 and a vertical asymptote at x = 2 
6 is less than equal 0
Respond to this Question
Similar Questions

algebra II
14. Solve the inquality 3(r11) + 15 equal or greater than 9. 15.Solve the inequality: 2 < 4z = 10 lessthan or equal to 12. 16. Solve the inequality 2x5 less than or equal to 10 or 33  4x < 5 17. Solve the inequality 3  … 
Algebra
Solve the compound inequality. 9 (less than or equal to) 3x  9 (less than or equal to) 15 I totally forget how to solve inequalities, please help! Thanks! 
Algebra
solve each inequality algebraically and give the answer by using interval notation. 59y <_ (less than or equal to) 192y I got 2y <_ (less than or equal to) y; (2, infinity]. But the back of the book answer says [infinity, … 
algebra
2x + 3y is less than or equal to 6 solve b=6c for c The length of a rectangle is fixed at 15cm. What widths will make the perimeter greater than 80 cm? 
precalculus
solve the inequality algebraically. write the solution in interval notation. the absolute value of x2/3 is less than or equal to 4 
calculus
solve the inequality algebraically 7x6 less than or equal to 3x^2 please show work 
algebra 2
1. 5x+2>3x+10 =x>4 2. 8+2x< or equal too 6x20 x> or equal too 7 3. 4(13n)14>4(2n+3)9n =? 
Algebra
Solve the inequality 1. m  7 < 6 2. x + 4.5 more than or equal to 5.5 3.p + 12 > 9 4. Translate the following statement into an inequality: Five less than a number is at least nine. x  5 more than or equal to 9 Show me how … 
algabra
Note: Remember to show all of the steps that you use to solve the problem. You have $59.95 in your wallet and want to buy some new CDs. If the CDs are $11.99 each, what number of CDs, x, can you buy? 
algebra
Note: Remember to show all of the steps that you use to solve the problem. You have $59.95 in your wallet and want to buy some new CDs. If the CDs are $11.99 each, what number of CDs, x, can you buy?