Answer:
The four answers in the attached figure
Step-by-step explanation:
Part 1) we have
[tex]x-99\leq-104[/tex]
Solve for x
Adds 99 both sides
[tex]x-99+99\leq-104+99[/tex]
[tex]x\leq-5[/tex]
The solution is the interval ----> (-∞, -5]
All real numbers less than or equal to -5
In a number line, the shaded area at left of x=-5 (close circle)
Part 2) we have
[tex]x-51\leq-43[/tex]
Solve for x
Adds 51 both sides
[tex]x-51+51\leq-43+51[/tex]
[tex]x\leq 8[/tex]
The solution is the interval ----> (-∞, 8]
All real numbers less than or equal to 8
In a number line, the shaded area at left of x=8 (close circle)
Part 3) we have
[tex]150+x\leq144[/tex]
Solve for x
Subtract 150 both sides
[tex]150+x-150\leq144-150[/tex]
[tex]x\leq -6[/tex]
The solution is the interval ----> (-∞, -6]
All real numbers less than or equal to -6
In a number line, the shaded area at left of x=-6 (close circle)
Part 4) we have
[tex]75<69-x[/tex]
Solve for x
Subtract 69 both sides
[tex]75-69<69-x-69[/tex]
[tex]6<-x[/tex]
Multiply by -1 both sides
[tex]-6> x[/tex]
Rewrite
[tex]x < -6[/tex]
The solution is the interval ----> (-∞, -6)
All real numbers less than -6
In a number line, the shaded area at left of x=-6 (open circle)
