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1. graph \\(m > 1\\) \\(\\frac{x+3}{6} > 1\\) which value of \\(x\\) is…

Question

  1. graph \\(m > 1\\)

\\(\frac{x+3}{6} > 1\\)

which value of \\(x\\) is a solution to the inequality?

a. \\(x = -10\\)

b. \\(x = -6\\)

c. \\(x = 6\\)

d. \\(x = 10\\)

include all values of \\(x\\) that are solutions

  1. solve and graph \\(-2x + 1 > 11\\)

Explanation:

Graph the inequality m > 1

Using the Graphing Inequalities knowledge point

$$ LATEXBLOCK0 $$

Solve the second inequality

Using the Linear Inequalities knowledge point

$$ LATEXBLOCK1 $$

Identify solutions for the second inequality

Using the Linear Inequality Solutions knowledge point

$$ LATEXBLOCK2 $$

Solve the third inequality

Using the Linear Inequalities knowledge point

$$ LATEXBLOCK3 $$

Graph the third inequality

Using the Graphing Inequalities knowledge point

$$ LATEXBLOCK4 $$

Answer:

Question 1

An open circle is placed at \(1\) on the number line, with a shaded arrow pointing to the right.

Question 2

The values of \(x\) that are solutions to the inequality are:

  • C. \(x = 6\)
  • D. \(x = 10\)

Question 3

The solution is \(x < -5\).
On the number line, an open circle is placed at \(-5\), with a shaded arrow pointing to the left.