Solve the inequality and give the solution in interval notation.
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A) [3, 5)
B) (3, 5]
C) (-5, -3]
D) [-5, -3)

Question

Solve the inequality and give the solution in interval notation.
-
A) [3, 5) 
B) (3, 5] 
C) (-5, -3] 
D) [-5, -3)

Quizplus · Accepted Answer

The inequality can be rewritten as -5 < -x ≤ -3. Solving for x, we get 3 ≤ x < 5. The correct interval notation for this is (3, 5]. Option B matches this notation. We need to isolate the variable x on one side of the inequality. First, we'll add 3 to both sides: x - 3 > 2 x > 5 This means x is greater than 5. However, the interval notation represents the possible values of x, so we use parentheses because 5 is not included in the solution. Finally, we put the solution in the correct form: (3, 5]

Solve the Inequality and Give the Solution in Interval Notation