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fsa mathematics practice test - number 2) select the value or values of…

Question

fsa mathematics practice test - number 2) select the value or values of x that make this inequality true. 2x + 5 < 9
x=2
x=1
x=3

Explanation:

Step1: Solve the inequality \(2x + 5 < 9\)

Subtract 5 from both sides: \(2x + 5 - 5 < 9 - 5\), which simplifies to \(2x < 4\).

Step2: Divide both sides by 2

\(\frac{2x}{2} < \frac{4}{2}\), so \(x < 2\).

Step3: Check each value

  • For \(x = 2\): \(2(2)+5 = 9\), and \(9\) is not less than \(9\), so \(x = 2\) does not satisfy the inequality.
  • For \(x = 1\): \(2(1)+5 = 7\), and \(7 < 9\), so \(x = 1\) satisfies the inequality.
  • For \(x = 3\): \(2(3)+5 = 11\), and \(11 > 9\), so \(x = 3\) does not satisfy the inequality.

Answer:

\(x = 1\) (or in the format with option identifier if we consider the options as A. \(x = 2\), B. \(x = 1\), C. \(x = 3\), then B. \(x = 1\))