Question

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

Answer 1

`|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