2.6 Homework: absolute value inequalities

$\mid 4+\mathrm{3x}\mid =2+\mathrm{5x}$ (…OK, this isn’t an in equality, but I figured you could use a bit more practice at these)

$\mid x\mid =x-1$

$4\mid \mathrm{2x}-3\mid -5\ge 3$

• a Solve for $x$ .
• b Graph your solution on a number line
• c Choose a point that is in your solution set, and test it in the original inequality. Does it work?
• d Choose a point that is not in your solution set, and test it in the original inequality. Does it work?

• a Solve for $x$ .
• b Graph your solution on a number line
• c Choose a point that is in your solution set, and test it in the original inequality. Does it work?
• d Choose a point that is not in your solution set, and test it in the original inequality. Does it work?

• a Solve for $x$ .
• b Graph your solution on a number line
• c Choose a point that is in your solution set, and test it in the original inequality. Does it work?
• d Choose a point that is not in your solution set, and test it in the original inequality. Does it work?

• a Solve for $x$ .
• b Graph your solution on a number line
• c Choose a point that is in your solution set, and test it in the original inequality. Does it work?
• d Choose a point that is not in your solution set, and test it in the original inequality. Does it work?