8.18 inequalities SoL review warm up

8.18 inequalities SoL review warm up

Solving an inequality is similar to

solving an equation. However,

when both sides of the inequality

are multiplied or divided by a

negative number, the direction of

the inequality symbol reverses.

Multiple Choice

Solve this inequality:

4 ≥ −2(x+2)

• $x\ge0$
  

• $x\le0$
  

• $x\ge-4$

• $x\le-4$

Reminders:

1. Distribute -2 (multiply)

2. Move 'x' term to the left & flip sign

3. Dividing (or multiplying) by a negative coefficient (-2) FLIPS the sign.

It flipped twice because a) variable was on the wrong side, and b) the coefficient was negative

Multiple Choice

Solve for x:

5x + 1 − x > 10 + 3x

• $x>1$

• $x>9$

• $x<11$

• $x>3$

Combining Like Terms

Always get it down to one 'x' and one constant on each side

Then 4x - 3x = x

and 10 - 1 = 9

Therefore:

x > 9

Multiple Select

 $3-x\le2x+1$  

Select all that are solutions to the inequality.

• 0

• -2

• 5

• -7

• -4