How do you solve #-2d<5#?

2 Answers
Apr 6, 2018

Answer:

#d>##-2.5#

Explanation:

You would solve this just like an equation except there is a rule for inequalities that you must keep in mind. Every time you multiply or divide by a negative number, you must reverse the inequality symbol.

#-2d<5#

Divide both sides by #-2# and turn around the sign

#d>##-5/2#

or

#d>##-2.5#

Apr 6, 2018

Answer:

#d > -5/2#

Here's how I did it:

Explanation:

Solving inequalities is similar to solving equations. However, there are a couple rules about the direction of the inequality you have to pay attention to:

  • If you multiply/divide by a negative number, you must change the direction of the inequality (like #<# to #>#)
  • If you swap the left and right hand sides of the inequality, you must change the direction of the inequality

Keeping that in mind, let's solve this problem.

#-2d < 5#

  • We know that #5/-2# is simply #-5/2#
  • Notice that you are dividing by a negative number, so we need to change the direction of the sign to #># rather than #<#:
    #d > -5/2#

Hope this helps!