When I tackle inequalities, I realize how crucial it is to grasp the relationship between negative and positive numbers. Initially, I remember that if I multiply or divide both sides of an inequality by a negative value, I must reverse the direction of the inequality sign. For instance, if I encounter the inequality (-3x ≤ 6) and divide both sides by -3, I have to flip the sign, resulting in (x ≥ -2).
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When I'm dealing with inequalities, I find it really important to understand how negative and positive numbers interact. First, I keep in mind that when I multiply or divide both sides of an inequality by a negative number, I need to flip the inequality sign. For example, if I have
( -2x > 4 ) and I divide both sides by -2, I must switch the sign, which gives me ( x < -2 )
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