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How do you solve #-10< - 10+ 7m#?

Answer 1

Avery Alexander

#m>0#

Solve:

#-10<-10+7m#

Add #10# to both sides.

#-10+10<-10+10+7m#

#0<0+7m#

#0<7m#

Divide both sides by #7#

#0/7<(color(red)cancel(color(black)(7))^1m)/color(red)cancel(color(black)(7))^1#

#0 < m# #larr# Zero divided by any number is zero.

Switch sides.

#m>0#

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Answer 2

Julia Adams

To solve the inequality (-10 < -10 + 7m), first, we isolate the variable (m) by subtracting (-10) from both sides of the inequality:

(-10 + 10 < 7m)

This simplifies to:

(0 < 7m)

Then, divide both sides of the inequality by (7) to solve for (m):

(0/7 < 7m/7)

(0 < m)

So, the solution is (m > 0).

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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 #-10&lt; - 10+ 7m#?

How do you solve #-10< - 10+ 7m#?