Solve the equation.
-$|5s - 6|=|s - 5|$
A) $\left\{-\frac{1}{4},-\frac{11}{6}\right\}$

B) $\varnothing$

C) $\left\{\frac{1}{4}\right\}$

D) $\left\{\frac{1}{4}, \frac{11}{6}\right\}$

Question

Solve the equation.
-$|5s - 6|=|s - 5|$
A) $\left\{-\frac{1}{4},-\frac{11}{6}\right\}$

B) $\varnothing$

C) $\left\{\frac{1}{4}\right\}$

D) $\left\{\frac{1}{4}, \frac{11}{6}\right\}$

Quizplus · Accepted Answer

To solve the equation $|5s - 6| = |s - 5|$, we consider two cases due to the absolute value:1. $5s - 6 = s - 5$Solving for $s$, we subtract $s$ from both sides and add $6$ to both sides to get:$$4s = 1$$$$s = \frac{1}{4}$$2. $5s - 6 = -(s - 5)$Solving for $s$, we distribute the negative sign and get:$$5s - 6 = -s + 5$$Adding $s$ to both sides and adding $6$ to both sides gives:$$6s = 11$$$$s = \frac{11}{6}$$Therefore, the solution set is $\left\{\frac{1}{4}, \frac{11}{6}\right\}$.

Solve the Equation ∣5s−6∣=∣s−5∣|5s - 6|=|s - 5|∣5s−6∣=∣s−5∣ A) {−14,−116}\left\{-\frac{1}{4},-\frac{11}{6}\right\}{−41​,−611​} B) ∅\varnothing∅ C) {14}\left\{\frac{1}{4}\right\}{41​}

Solve the Equation $|5s - 6|=|s - 5|$ A) $\left\{-\frac{1}{4},-\frac{11}{6}\right\}$ B) $\varnothing$ C) $\left\{\frac{1}{4}\right\}$