Solving Linear Inequalities

-See video for full explanation

Solve inequalities in one variable.

 

 

(-1 x) – x\leq 1(x-1)
x>-1

  • Solve 6x-7 \leq 2x-3
    • -2x                -2x
    • (6x-2x)-7\leq(2x-2x)-3
    • 4x-7\leq 0-3
    • 4x-7 \leq -3
    •     +7              +7
    • 4x+(-7+7)\leq (-3+7)
    • 4x+0 \leq 4
    • \frac{1}{4}\cdot x (4x)\leq 4 \cdot x \frac{1}{4}
    • x\leq \frac{4}{4}
    • x\leq1

 

  • Solve -3x\leq9 and plot on a number line
    • -\frac{1}{3}\cdot{x} \cdot -3 \leq 9x \cdot \frac{-1}{3}
    • 1x\leq \frac{9}{-3}
    • 1x\leq -3
    • x\leq -3