Write the inequality that represents the solution set for −15/9 y <11/13 .
15 y > -99/13 note < to > when multiply by negative 9
y > -99/(15*13)
thanks!
You are welcome.
To write an inequality representing the solution set, we can begin by simplifying the given inequality as follows:
-15/9 y < 11/13
To simplify this inequality, we can cross-multiply:
-15 * 13 < 11 * 9y
-195 < 99y
Next, we can divide both sides of the inequality by 99 to isolate the variable y:
-195/99 < y
Simplifying the left side of the equation gives:
-65/33 < y
Therefore, the inequality that represents the solution set is:
y > -65/33