Write in interval notation?

Question

1: Write in interval notation: x > 3 AND x ≤ 7

(-∞, 7)

(3, 7]

(-∞, ∞)

(3, ∞)

2: Write in interval notation: 4 > x OR 3 > x

(3, 4)

(-∞, 3)

(-∞, 4)

(-∞, ∞)

3: Write in interval notation: x ≤ -3 AND x > -10

(-10, -3]

(-∞, -3]

[-10, -3)

(-∞, ∞)

4: Write in interval notation: x > 2 OR 5 > x

(2, 5)

(-∞, ∞)

(-∞, 5)

(2, ∞)

5: Write in interval notation: x > 2 AND 5 > x

(2, 5)

(-∞, ∞)

(-∞, 5)

(2, ∞)

6: Write in interval notation: x > 2 OR 5 < x

(2, 5)

(-∞, ∞)

(-∞, 5)

(2, ∞)

Answer 1

1: Write in interval notation: x &gt; 3 AND x ≤ 7

(3, 7]

2: Write in interval notation: 4 &gt; x OR 3 &gt; x

(-∞, 4)  because any x &lt; 3 is also less than 4.

3: Write in interval notation: x ≤ -3 AND x &gt; -10

(-10, -3]

4: Write in interval notation: x &gt; 2 OR 5 &gt; x

(-∞, ∞)

5: Write in interval notation: x &gt; 2 AND 5 &gt; x

(2, 5)

6: Write in interval notation: x &gt; 2 OR 5 &lt; x

(2, ∞)

Hope this helps you!

Answer 2

{ 2nd,4th,1st,2nd,1st,4th}...and means both need to hold..or means either can hold