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.

 see below

Step-by-step 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:  ←oo→

                           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:  ←oo→

                          -4        0

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

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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