What thee NOT equivalent to the following inequality? a>3 A. 2a-3>3 B. 3a-2>11 C. 4a+1>11 D. 5a+2>13 Help I will medal you and fan you!!!
@whpalmer4
\[2a-3>3\]What do you get if you add \(3\) to both sides of the inequality?
We never learn what inequality because this is a pretest
@whpalmer4
okay, inequalities work just like equalities, with one important difference. If you multiply or divide both sides of an inequality by a negative number, you must change the direction that the inequality sign points. Otherwise, it's just like solving a regular equation. \[2a-3 > 3\]If we add \(3\) to both sides: \[2a-3+3 > 3+3\]\[2a>6\]Now if we divide both sides by \(2\) which is the number in front of \(a\) (we call that a coefficient): \[\frac{2a}{2} > \frac{6}{2}\]\[a>3\]so that first inequality is equivalent to \(a > 3\)
see how that works?
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