Part 1: Solve the inequality -3x + 4 ≤ x + 8 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1.
Part 2: Use complete sentences to describe the graph of the solution from Part 1.
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Solve the inequality as it it was just an ordinary equation first.
-3x + 4 ≤ x + 8
-3x -x ≤ 8 - 4
-4x ≤ 4 Now you divide by -4 but REVERSE the inequality sign to get:
x >+ -1 So Draw a solid vertical line at x = -1 and shade everything to the right of it.
-3x + 4 ≤ x + 8
-3x -x ≤ 8 - 4
-4x ≤ 4 Now you divide by -4 but REVERSE the inequality sign to get:
x >+ -1 So Draw a solid vertical line at x = -1 and shade everything to the right of it.