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Justify each step of this inequality by stating the property that was used to get to each step.

Given: -5(k+3)<12-10r+3r Property used:
Step 1: -5(k+3)<12-7r Step 1:
Step 2: -5r-15<12-7r Step 2:
Step 3: 2r-15<12 Step 3:
Step 4: 2r<27 Step 4:
Step 5: r<13.5 Step 5:

Answer :

matthewprichman

Answer:

issolat variable

subtract constant

individualize variable

divide by coeficient

answer

Step-by-step explanation:

xKelvin

Answer:

See below.

Step-by-step explanation:

We have the inequality:

[tex]-5(r+3)<12-10r+3r[/tex]

Step 1: Combining Like Terms:

[tex]-5(r+3)<12-7r[/tex]

Step 2: Distribute Property (on the left):

[tex]-5r-15<12-7r[/tex]

Step 3: Addition Property of Equality (Add 7r to both sides):

[tex]2r-15<12[/tex]

Step 4: Addition Property of Equality (Add 15 to both sides):

[tex]2r<27[/tex]

Step 5: Division Property of Equality (Divide both sides by 2):

[tex]r<27/2=13.5[/tex]

And we're done!

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