For each inequality , find two values for x that make the inequality true and two values that make it false .
a. x + 3 > 70
b. x + 3 < 70
c. -5x < 2
d. 5x < 2

Respuesta :

A. True- x= 70 and x=71
False- x=50 and x=40
B. True- x=50 and x=40
False- x=70 and x=71
C. True- x=4 and x=3
False- x=-2 and x=-5
D. True- x=-2 and x=-5
False- x=4 and x=3

Option (a). For x = 68, 69 [Inequality will be True]

                  For x = 65, 66 [Inequality will be False]

Option (b). For x = 65, 66 [Inequality will be True]

                  For x = 68, 69 [Inequality will be False]

Option (c). For x = 0, 1 [Inequality will be True]

                  For x = -1, -2 [Inequality will be False]

Option (d). For x = 0, 1 [Inequality will be False]

                   For x = -1, -2 [Inequality will be True]

Solution of an inequality:

  • An inequality given in the form of (x + a > 0),

         x + a > 0

         x > -a

         Solution set for which the inequality is true → {x | x > -a}

Option (a),

x + 3 > 70

x + 3 - 3 > 70 - 3

x > 67

For all values of x greater than 67 will be the solution set of the inequality.

For x = 68, 69 [Inequality will be True]

For x = 65, 66 [Inequality will be False]

Option (b),

x + 3 < 70

x + 3 - 3 < 70 - 3

x < 67

For x = 65, 66 [Inequality will be True]

For x = 68, 69 [Inequality will be False]

Option (c),

-5x < 2

[tex]-\frac{5x}{5} < \frac{2}{5}[/tex]

-x < 0.4

x > -0.4

For x = 0, 1 [Inequality will be True]

For x = -1, -2 [Inequality will be False]

Option (d),

5x < 2

[tex]\frac{5x}{5} < \frac{2}{5}[/tex]

x < 0.4

For x = 0, 1 [Inequality will be False]

For x = -1, -2 [Inequality will be True]

Learn more about the inequalities here,

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