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.