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71 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its se 18 > |ܙܘ| (1 ܬܸܫܬ܀ 3 ܬܙܬ 2 13) -10

User Nemeth
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1 Answer

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|1-4k|\ge-11

This implies that


\begin{gathered} 1-4k\ge-11 \\ or \\ 1-4k\leq11 \end{gathered}
\begin{gathered} \text{If 1-4k}\ge-11 \\ -4k\text{ }\ge-11-1 \\ -4k\ge-12 \\ k\leq3 \end{gathered}
\begin{gathered} \text{If 1-4k}\leq11 \\ -4k\text{ }\leq11-1 \\ -4k\leq10 \\ k\ge-(5)/(2) \end{gathered}

Combining both of them


-(5)/(2)\leq k\leq3

Drawing the inequality line yields

71 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality-example-1
71 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality-example-2
User Choco
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