How do you solve #-25 < 5(w + 3)#?

Answer 1

Avery Alexander

The solution is #w> -8# .

Solve #-25<5(w+3)#.

Flip the inequality to get w on the left side.

#5(w+3)> -25#

Distribute the 5.

#5w+15> -25#

Subtract 15 from both sides.

#5w+15-15> -25-15# =

#5w> -40#

Divide both sides by 5.

#(5w)/(5)> -40/5# =

#w> -8#

Note: If you don't flip the expression to get w on the left side, the solution will be #-8 < w#, which is the same answer.

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Answer 2

Julia Adams

To solve the inequality ( -25 < 5(w + 3) ), follow these steps:

Divide both sides of the inequality by 5.
Solve for ( w ).

The solution is ( w > -8 ).

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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 #-25 &lt; 5(w + 3)#?

How do you solve #-25 < 5(w + 3)#?