Write the inequality that represents the solution set for
−20/11 y > −9/17.
multiply both sides by -11/20
(-11/20)(-20/11)y < (-9/17)(-11/20)
y < 99/340
notice I reversed the inequality sign, since I multiplied by a negative.
THANK YOU!!!
To write the inequality that represents the solution set for -20/11y > -9/17, we need to first understand how to solve inequalities involving fractions. Here's the step-by-step process:
Step 1: Multiply both sides of the inequality by the reciprocal of the coefficient of y. In this case, the coefficient of y is -20/11, so we need to multiply both sides by -11/20 (the reciprocal of -20/11).
(-11/20) * (-20/11)y > (-11/20) * (-9/17)
Simplifying gives:
y > (99/20) * (1/17)
Step 2: Multiply and simplify the right side of the inequality:
y > (99/340)
Therefore, the solution set for the given inequality is y > 99/340.