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Tips/Hints for Solving Multi-Step Inequalities

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Tips/Hints for Solving Multi-Step Inequalities

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"THE BIG NEGATIVE"
This rule is that if you have a negative as an inequality then you invert the sign (>,≤,<,≥...)

# data[].attributes.body
9x-4≤4+8(8)

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8x+13<9-10(9)

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-2+-7y<5

Add 2 to both sides
-2+-7y+2<5+2

Simplify
-7y<7

In the next step, you will divide both sides of the inequality by a negative number. Be sure to also reverse the direction of the inequality symbol.(THE BIG NEGATIVE)

Divide both sides by -7 and reverse the inequality symbol
-7y-7>7-7

Simplify
y>-1

# data[].attributes.body
8(9x+5)>7-3