Question
Solve the inequality
d∈(−∞,−2]∪[2,+∞)
Evaluate
3∣d×1∣−7≥−1
Any expression multiplied by 1 remains the same
3∣d∣−7≥−1
Move the expression to the left side
3∣d∣−7−(−1)≥0
Subtract the numbers
More Steps

Evaluate
−7−(−1)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−7+1
Add the numbers
−6
3∣d∣−6≥0
Rewrite the expression
3∣d∣≥6
Divide both sides
33∣d∣≥36
Divide the numbers
∣d∣≥36
Divide the numbers
More Steps

Evaluate
36
Reduce the numbers
12
Calculate
2
∣d∣≥2
Separate the inequality into 2 possible cases
d≥2d≤−2
Solution
d∈(−∞,−2]∪[2,+∞)
Show Solution
