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Answer:
[tex]x>24[/tex]
Step-by-step explanation:
First, let's re-write it multiplied by -2 on each side, the denominator will disappear and we'll have our x positive:
[tex]x>24[/tex]
Remember: if you multiply a inequality for a negative number, change the sign to its opposite, for example the < become the >
Answer:
[tex]24[/tex]
Step-by-step explanation:
Multiply both sides of the inequality by -2 qnd flip the inequality sign:
[tex] - 2 \times ( - \frac{1}{2} )x > - 2x( - 12)[/tex]
Multiply an even number of negative terms make the product positive:
[tex]2 \times \frac{1}{2} x > -2 \times ( - 12)[/tex]
Reduce the number with the greatest common factor 2:
[tex]x > - 2 \times ( - 12)[/tex]
Multiply two negatives equal a positive: ( - ) × ( - ) = ( + ).
Multiply the number:
[tex]x > 2 \times 12[/tex]
[tex] = 24[/tex]