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A1H Solving Inequalities

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  • Define a variable. Write and solve an inequality for each situation. Write the solution sentence.
    n=notebooks; 1.39n<=10; n<=7.1294... A max of 7 notebooks can be purchased.
  • Graph each solution set on a number line.
    x>3
  • Define a variable. Write and solve an inequality for each situation. Write the solution sentence.
    M=movies; 55 + 4m < 110; m < 13.75; Carl's is cheaper for under 13 movies.
  • Define a variable. Write and solve an inequality for each situation. Write the solution sentence.
    =months; 210 + 16m > 175 + 20m; ? m 8.75; Hanna's balance will be greater for less than 8.75 months
  • Solve, graph and write the solutions in interval notation.
    x > 4 or x > 8
  • Solve, graph and write the solutions in interval notation.
    y<-1 and y<3
  • Solve, graph and write the solutions in interval notation.
    w<= -2 OR w >= 7
  • Solve, graph and write the solution in interval notation.
    n>7
  • Solve, graph and write the solution in interval notation
    n<4
  • Solve, graph and write the solutions in interval notation.
    -1 <= k <= 3
  • Solve, graph and write the solutions in interval notation.
    x > 20 or x < -25
  • Solve, graph and write the solutions in interval notation.
    all real numbers
  • Graph each solution set on a number line.
    no solution
  • Graph each solution set on a number line.
    all real numbers
  • Write the inequality for the graph.
    x<= -1 or x>=7
  • Write the inequality for the graph.
    0 <= x < 6
  • Solve, graph and write the solutions in interval notation.
    -16 <= d <= 12
  • Solve, graph and write the solutions in interval notation.
    x > -2
  • Solve, graph and write the solutions in interval notation.
    x < -8/5
  • Graph each solution set on a number line.
    x<=12