Question

Help plz show work

Write the inequality alberacally
graph the inequality on the real number line
Write the inequality in interval notation.
7.x is not equal to 3.
8. x is not equal to 3.
9. x is not equal to 2 and x is not equal to 7.
10.x is not equal to -4 and x is not equal to 0.

Answer 1

Answer: see below

Explanation:

7) Algebraic Inequality: x ≠ 3

--> -∞ < x < 3 and 3 < x < ∞

Graph: ←-----------o-----------→

3

Interval Notation: (-∞,3) ∪ (3, ∞)

8) This is a duplicate question of #7

9) Algebraic Inequality: x ≠ 2 and x ≠ 7

--> -∞ < x < 2 and 2 < x < 7 and 7 < x < ∞

Graph: ←-------o-------o-------→

2 7

Interval Notation: (-∞, 2) ∪ (2, 7) ∪ (7, ∞)

10) Algebraic Inequality: x ≠ -4 and x ≠ 0

--> -∞ < x < -4 and -4 < x < 0 and 0 < x < ∞

Graph: ←-------o-------o-------→

-4 0

Interval Notation: (-∞, -4) ∪ (-4, 0) ∪ (0, ∞)