Solve the inequality. $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } \frac { 1 } { 34 }$ A) $y \leq 1$ B) $y \leq 0$ C) $y 0$ D) $y

Question

Solve the inequality. $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }$
A) $y \leq 1$
B) $y \leq 0$
C) $y > 0$
D) $y < 0$
E) $y \geq 0$

Quizplus · Accepted Answer

First, find a common denominator to combine the fractions on the left side of the inequality, which is 34. This gives $\frac{17(y-1) + 2(y+9)}{34} > \frac{1}{34}$. Simplifying the numerator results in $\frac{17y - 17 + 2y + 18}{34} > \frac{1}{34}$, which simplifies further to $\frac{19y + 1}{34} > \frac{1}{34}$. Multiplying both sides by 34 to eliminate the denominator gives $19y + 1 > 1$, which simplifies to $19y > 0$. Dividing both sides by 19, we get $y > 0$.

Solve the Inequality y−12+y+917>134\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }2y−1​+17y+9​>341​

Solve the Inequality $\frac { y - 1 } { 2 } + \frac { y + 9 } { 17 } > \frac { 1 } { 34 }$