Answer:
No solution
Step-by-step explanation:
Given: [tex]12x+7<-11[/tex] and [tex]5x-8\geq 40[/tex]
Solve both inequality separately.
[tex]12x+7<-11[/tex] Subtraction property of inequality
[tex]12x<-11-7[/tex]
[tex]12x<-18[/tex]
[tex]x<-\dfrac{18}{12}[/tex]
[tex]x<-\dfrac{3}{2}[/tex]
and
[tex]5x-8\geq 40[/tex] Addition property of inequality
[tex]5x\geq 40+8[/tex]
[tex]5x\geq 48[/tex]
[tex]x\geq \dfrac{48}{5}[/tex]
Hence, the solution of the compound inequality intersection of both solutions.
Please find attachment for number line solution.
No solution
