SOLUTION: Please help me with this inequality: Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality an
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Question 806608: Please help me with this inequality: Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The first thing to do is to get an intuitive sense of what the inequality statement means. Anytime you have the absolute value of a difference less than some value, then it is really saying that the distance between the two values inside of the absolute value bars is smaller than the value. In your case, the claim is that the variable is anywhere between 5 smaller than 4 and 5 larger than 4, not including the endpoints.
a.
(Note reversal of relational operator)
b. For each inequality, add -4 to both sides and then multiply both sides by -1. Reverse the relational operator when multiplying by a value less than zero.
c. You can make your own graph.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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