Question

Please help
1) e/2 < 3
2) n - 1 > 3
3) 5 < 3 + w
4) [<+_ because you can't show the < over the _] 8 <_ 2m
5) r - 4 < 1
6) 2 <_ -1t
7) 2 >_ s - 2
8) 2>_ 5 + p
please show a number line!

Answer 1

Note: o represents an open dot, ⊕ represents a closed dot

1) $\frac{e}{2} < 3$   ⇒   e < 6

Graph: ←--------------o6         Interval Notation: (-∞, 6)

2) n - 1 > 3   ⇒   n > 4

Graph: 4o-------------→          Interval Notation: (4, ∞)

3) 5 < 3 + w   ⇒   2 < w   ⇒   w > 2

Graph: 2o-------------→          Interval Notation: (2, ∞)

4) 8 ≤ 2m   ⇒   4 ≤ m   ⇒   m ≥ 4

Graph: 4⊕-------------→         Interval Notation: [4, ∞)

5) r - 4 < 1   ⇒   r < 5

Graph: ←--------------o 5          Interval Notation: (-∞, 5)

6) 2 ≤ -t   ⇒   -2 ≥ t   ⇒   t ≤ -2

Graph: ←--------------⊕ -2        Interval Notation: (-∞, -2]

7) 2 ≥ s - 2   ⇒   4 ≥ s   ⇒   s ≤ 4

Graph: ←--------------⊕ 4        Interval Notation: (-∞, 4]

8) 2 ≥ 5 + p   ⇒   -3 ≥ p   ⇒   p ≤ -3

Graph: ←--------------⊕ -3        Interval Notation: (-∞, -3]