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for the inequality, find two values for x that make the inequality true…

Question

for the inequality, find two values for x that make the inequality true and two values that make it false.
x + 3 > 70

Explanation:

Step1: Solve the inequality

To solve \( x + 3>70 \), subtract 3 from both sides:
\( x+3 - 3>70 - 3 \)
\( x > 67 \)

Step2: Find true values

Any \( x \) greater than 67 will satisfy the inequality. Let's choose \( x = 68 \) and \( x = 69 \).

  • For \( x = 68 \): \( 68+3 = 71>70 \), true.
  • For \( x = 69 \): \( 69+3 = 72>70 \), true.

Step3: Find false values

Any \( x \) less than or equal to 67 will not satisfy the inequality. Let's choose \( x = 67 \) and \( x = 66 \).

  • For \( x = 67 \): \( 67+3 = 70 \), but \( 70\) is not greater than \( 70 \), false.
  • For \( x = 66 \): \( 66+3 = 69<70 \), false.

Answer:

True values: \( x = 68 \), \( x = 69 \); False values: \( x = 67 \), \( x = 66 \) (answers may vary as long as true values are \(>67\) and false values are \(\leq67\))