Solve the Linear Inequality $\mathrm { y } _ { 1 } = - 2 \mathrm { x } + 1 , \mathrm { y } _ { 2 } = - 3 \mathrm { x } - 4$

Multiple Choice

Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set
on a number line.
- $\mathrm { y } _ { 1 } = - 2 \mathrm { x } + 1 , \mathrm { y } _ { 2 } = - 3 \mathrm { x } - 4$ , and $\mathrm { y } _ { 1 } \leq \mathrm { y } _ { 2 }$ .

A) $( - \infty , - 5 ]$
B) $( - \infty , - 5 )$
C) $[ - 5 , \infty )$
D) $[ - 3 , \infty )$