Solve the inequality and give the solution in interval notation.
-$2 \leq \frac { 5 } { 7 } x - 3

Question

Solve the inequality and give the solution in interval notation.
-$2 \leq \frac { 5 } { 7 } x - 3 < 7$
A) $[ 7,8 )$
B) $( 7,8 ]$
C) $[ 7,14 )$
D) $( 7,14 ]$

Quizplus · Accepted Answer

To solve the inequality $2 \leq \frac { 5 } { 7 } x - 3 < 7$, first, we isolate $x$ in the inequality. We start by adding 3 to all parts of the inequality to get $5 \leq \frac { 5 } { 7 } x < 10$. Then, we multiply all parts by $\frac { 7 } { 5 }$ to solve for $x$, resulting in $7 \leq x < 14$. This corresponds to the interval notation $[ 7,14 )$.

Solve the Inequality and Give the Solution in Interval Notation 2≤57x−3<72 \leq \frac { 5 } { 7 } x - 3 < 72≤75​x−3<7

Solve the Inequality and Give the Solution in Interval Notation $2 \leq \frac { 5 } { 7 } x - 3 < 7$