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which of the following are solutions to the inequality below? select al…

Question

which of the following are solutions to the inequality below? select all that apply.
$6 + 9x \geq 15$
$x = 2$ $x = 8$ $x = 9$ $x = 7$
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Explanation:

Step1: Solve the inequality for x

First, we solve the inequality \(6 + 9x \geq 15\). Subtract 6 from both sides:
\(9x \geq 15 - 6\)
\(9x \geq 9\)
Then divide both sides by 9:
\(x \geq 1\)

Step2: Check each value

  • For \(x = 2\): Since \(2 \geq 1\), it is a solution.
  • For \(x = 8\): Since \(8 \geq 1\), it is a solution.
  • For \(x = 9\): Since \(9 \geq 1\), it is a solution.
  • For \(x = 7\): Since \(7 \geq 1\), it is a solution.

Answer:

A. \(x = 2\), B. \(x = 8\), C. \(x = 9\), D. \(x = 7\) (all these values satisfy \(x \geq 1\) which is the solution to the inequality \(6 + 9x \geq 15\))