[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{x}{4}\geq-6}[/tex]
[tex]\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}[/tex]
[tex]\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}[/tex]
[tex]\large\text{MULTIPLY by 6 to BOTH SIDES}[/tex]
[tex]\mathsf{4\times\dfrac{}{}x \geq 4\times-6}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}[/tex]
[tex]\mathsf{4\times-6=\boxed{\bf -24}}[/tex]
[tex]\large\text{So, the number \underline{-24} is being compared to your x-value}[/tex]
[tex]\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
