Write the inequality that represents the solution set for −15/9y < 11/13 .

Please help thanks

If −15/9y < 11/13 mean:

−( 15 / 9 ) y < 11 / 13

then multiply both sides by 9

- 15 y < 99 / 13 Divide both sides by - 15

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality.

y > ( 99 / 13 ) / 15

y > 99 / 13 * 15

y > 33 * 3 / 13 * 5 * 3

y > 33 / 13 * 5

y > 33 / 65

Correction

y > ( 99 / 13 ) / - 15

y > - 99 / 13 * 15

y > - 33 * 3 / 13 * 5 * 3

y > - 33 / 13 * 5

y > - 33 / 65

i put that in and it said it was wrong

I agree with Bosnian's answer.

check your typing of the question.
Did you perhaps mean
−15/(9y) < 11/13 ?

ok i think i wrote it wrong the y is a seperate variable its not suppose to be with the 9

To write the inequality representing the solution set for −15/9y < 11/13, we need to isolate y on one side of the inequality sign.

Step 1: Start by multiplying both sides of the inequality by 9/15 to eliminate the fraction.

(-15/9y) * (9/15) < (11/13) * (9/15)

Step 2: Simplify the expression by canceling out common factors.

(-1/3y) < (99/195)

Step 3: Multiply both sides by -3 to get rid of the coefficient -1/3 in front of y and preserve the direction of the inequality.

(-1/3y) * (-3) > (99/195) * (-3)

Step 4: Simplify the expression by canceling out common factors.

y > -99/65

Therefore, the inequality representing the solution set for −15/9y < 11/13 is:

y > -99/65.