-2(k+1)>-16+5k
My answer
K <-2
-2k - 2 > -16 + 5k
-7k > -14
k < +2
Thanks
0.5 ≤
y
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8
To solve the inequality -2(k+1) > -16+5k, you can follow these steps:
1. Distribute the -2 to both terms inside the parentheses:
-2k - 2 > -16 + 5k.
2. Combine like terms on each side of the inequality:
-2k - 5k > -16 + 2.
3. Simplify:
-7k > -14.
4. Divide both sides of the inequality by -7. Remember that when dividing by a negative number, the direction of the inequality sign changes:
k < 2.
Therefore, the solution to the inequality is k < 2.