Respuesta :
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{-1(r-3)\geq 3(r+5)}\\\bold{Distribute}\\\bold{-1r+3\geq 3r+15}\\\bold{SUBTRACT\ both\ of\ your\ sides\ by\ 3r}\\\bold{-1r+3-3r\geq 3r+15-3r}\\\bold{We\ get: -4r+3\geq 15}\\\bold{SUBTRACT\ both\ of\ your\ sides\ by\ 3}\\\bold{-4r+3-3\geq15-3}\\\bold{15-3=12}\\\bold{Equation: -4r \geq 12}\\\bold{DIVIDE\ both\ of\ your\ sides\ by\ -4}\\\bold{\dfrac{-4r}{-4}=\dfrac{12}{-4}}\\\bold{Cancel: \dfrac{-4}{-4}}\\\bold{Keep: \dfrac{12}{-4}}\\\bold{r\geq \underline{\dfrac{12}{-4}}}\\\bold{\dfrac{12}{-3}=r}[/tex]
[tex]\boxed{\boxed{\bold{Answer: \boxed{\bold{r\leq -3}}}}}\huge\checkmark[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}\\\\\frak{Amphitrite1040:)}[/tex]
Answer:
Step-by-step explanation:
Here you go
- Use PEMDAS
Step 1
-1 (r-3) ≥ 3(r + 5) Question
Step 2
-1 (r-3) ≥ 3(r + 5) Remove parenthesis
-r+3≥3r+15
Step 3
-r+3≥3r+15 Subtract 3r from sides
-4r+3≥15
Step 4
-4r+3≥15 Subtract 3
-4r≥12
Step 5
-4r≥12 Divide sides by 4
Answer
r≤-3