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)
`(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]