What is the inequality to 2w+5>45

  w > 20

Step-by-step explanation:

Perhaps you want the solution to the inequality 2w+5>45.

Subtract 5:

  2w > 40

Divide by 2:

  w > 20 . . . . this is the solution

Comment on solving inequalities

An inequality is solved in virtually the same way that an equation is solved: undo what is done to the variable. The only difference is that when you perform an operation that reverses the ordering, you need to reverse the ordering symbol.

Multiplying or dividing by a negative number will reverse the ordering. Consider, for example, ...

  2 > 1

Multiplying both sides by -1, we get ...

  -2 < -1 . . . . . the > sign needs to be reversed to a < sign to keep the inequality true

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