Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
−3≤d<7
Alternative Form
d∈[−3,7)
Evaluate
−2≤42d−2<3
Separate into two inequalities
{−2≤42d−242d−2<3
Solve the inequality
More Steps
Evaluate
−2≤42d−2
Divide the terms
More Steps
Evaluate
42d−2
Factor
42(d−1)
Reduce the fraction
2d−1
−2≤2d−1
Swap the sides of the inequality
2d−1≥−2
Cross multiply
d−1≥2(−2)
Simplify the equation
d−1≥−4
Move the constant to the right side
d≥−4+1
Add the numbers
d≥−3
{d≥−342d−2<3
Solve the inequality
More Steps
Evaluate
42d−2<3
Divide the terms
More Steps
Evaluate
42d−2
Factor
42(d−1)
Reduce the fraction
2d−1
2d−1<3
Cross multiply
d−1<2×3
Simplify the equation
d−1<6
Move the constant to the right side
d<6+1
Add the numbers
d<7
{d≥−3d<7
Solution
−3≤d<7
Alternative Form
d∈[−3,7)
Show Solution
