Answer/Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
[tex]\frac{1}{4}k+\frac{-3}{4}>-2[/tex]
Step 2: Add 3/4 to both sides.
[tex]\frac{1}{4}k+\frac{-3}{4}+\frac{3}{4}>-2+\frac{3}{4}[/tex]
[tex]\frac{1}{4}k>\frac{-5}{4}[/tex]
Step 3: Multiply both sides by 4.
[tex]4*\frac{1}{4}k>4*\frac{-5}{4}[/tex]
K > -5
So according to this the value of k has to be greater than -5
You can check your answer by substituting the values in for k.
You can use a calculator..
[tex]\frac{-10-3}{4} >-2[/tex]
[tex]\frac{-7-3}{4} >-2[/tex]
[tex]\frac{-1-3}{4} >-2[/tex]
[tex]\frac{0-3}{4} >-2[/tex]
Solve these and you will get your 2nd answer.
[RevyBreeze]