Question
Solve the inequality
−1≤k<5
Alternative Form
k∈[−1,5)
Evaluate
(−1<4−k≤5)
Separate into two inequalities
{−1<4−k4−k≤5
Solve the inequality
More Steps

Evaluate
−1<4−k
Swap the sides of the inequality
4−k>−1
Move the constant to the right side
−k>−1−4
Subtract the numbers
−k>−5
Change the signs on both sides of the inequality and flip the inequality sign
k<5
{k<54−k≤5
Solve the inequality
More Steps

Evaluate
4−k≤5
Move the constant to the right side
−k≤5−4
Subtract the numbers
−k≤1
Change the signs on both sides of the inequality and flip the inequality sign
k≥−1
{k<5k≥−1
Solution
−1≤k<5
Alternative Form
k∈[−1,5)
Show Solution
