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How do you solve #k/7< -2#?

Answer 1

Kennedy Adams

See the entire solution process below:

To find #k# while maintaining the balance of the inequality, multiply each side of the inequality by #color(red)(7)#:

Red (#color)(7) xx k/7 < color(red)(7) xx -2#

xx k/color(red)(cancel(color(black)(7))) < -14#cancel(color(red)(7))

#k < -14#

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Answer 2

Abigail Allen

To solve the inequality ( \frac{k}{7} < -2 ), follow these steps:

Multiply both sides of the inequality by 7 to eliminate the fraction: ( 7 \times \frac{k}{7} < -2 \times 7 )
Simplify: ( k < -14 )

Therefore, the solution to the inequality is ( k < -14 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve #k/7&lt; -2#?

How do you solve #k/7< -2#?