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Solve the inequality

x/4 is greater than or equal to -6

a) x ≤ –24

b) x ≥ 10

c) x ≥ –10

d) x ≥ –24

User Danicco
by
8.9k points

2 Answers

5 votes

Answer:

D

Explanation:

x/4≥-6

*4 *4

x≥-24

So it's D.

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hope it helps

User Bart Teunissen
by
8.1k points
4 votes


\huge\text{Hey there!}


\mathsf{(x)/(4)\geq-6}


\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}


\large\text{NEW EQUATION: }\mathsf{(1)/(4)x \geq-6}


\large\text{MULTIPLY by 6 to BOTH SIDES}


\mathsf{4*\frac{}{}x \geq 4*-6}


\large\text{CANCEL out: }\mathsf{4*(1)/(4)}\large\text{ because that gives you the value of 1}


\large\text{KEEP: }\mathsf{4*-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}


\mathsf{4*-6=\boxed{\bf -24}}


\large\text{So, the number \underline{-24} is being compared to your x-value}


\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


\boxed{\boxed{\large\text{Answer: \bf x}\bf \geq\large\textsf{\bf -24 \huge\text{Option D.}}}}\huge\checkmark


\large\text{Good luck on your assignment and enjoy your day!}

~
\frak{Amphitrite1040:)}

User Rilke Petrosky
by
8.4k points

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