Use interval notation to represent all values of x satisfying the given conditions.
-$y _ { 1 } = 4 x - 2 , y _ { 2 } = 3 x + 3$, and $y _ { 1 } y _ { 2 }$.
A) $( 5 , \infty )$
B) $( 1 , \infty )$
C) $( - \infty , 5 ]$
D) $[ 5 , \infty )$

Question

Use interval notation to represent all values of x satisfying the given conditions.
-$y _ { 1 } = 4 x - 2 , y _ { 2 } = 3 x + 3$, and $y _ { 1 } > y _ { 2 }$.
A) $( 5 , \infty )$
B) $( 1 , \infty )$
C) $( - \infty , 5 ]$
D) $[ 5 , \infty )$

Quizplus · Accepted Answer

To find the interval where $y_1 > y_2$, set $4x - 2 > 3x + 3$ and solve for $x$. Subtracting $3x$ from both sides gives $x > 5$, which corresponds to the interval $(5, \infty)$.

Use Interval Notation to Represent All Values of X Satisfying y1=4x−2,y2=3x+3y _ { 1 } = 4 x - 2 , y _ { 2 } = 3 x + 3y1​=4x−2,y2​=3x+3

Use Interval Notation to Represent All Values of X Satisfying $y _ { 1 } = 4 x - 2 , y _ { 2 } = 3 x + 3$