One and Two-Step Inequalities

One and Two-Step Inequalities

Inequalities

•  $>$  is greater than
  

•  $\ge$  is greater than or equal to

•  $<$  is less than

•  $\le$  is less than or equal to

One-Step Inequalities

• Complete the inverse operation to isolate the variable.

• Remember: When multiplying or dividing by a negative number, the inequality symbol flips.

Multiple Choice

Find the solution to...

-48 < 12c

• -4 < c

• -4 > c

• c < -4

• 4 < c

Multiple Choice

Find the solution to
k /  -2 < 10             (remember / means to divide)

• k < -5
• k > -5
• k < -20
• k > -20

Multiple Choice

Solve

-9h > -63

• h < 7

• h > 7

• h < -7

• h > -7

Multiple Choice

-24 + k ≤ 10

• k ≤ 14
• 34 ≤ k
• k ≤ 34
• 14 ≤ k

Two-Step Inequalities

• First,  $+$   or  $-$   to get rid of the constant that is on the same side of the inequality as the variable.

• Second,  $\times$  or  $\div$   to get rid of the coefficient/number with the variable.

• Remember:  When multiplying or dividing by a negative, the inequality symbol flips.

Multiple Choice

• 145

• 165

• 180

• 190

Multiple Choice

Solve for u.

u/7 – 1 ≤ 1

• -14≥u

• 14≤u

• u≤14

• u ≤ -14

Multiple Choice

Solve for k.
2k - 9≤ -19

• k ≤ -5
• k ≤ 5
• k < -5
• k < 5

Multiple Choice

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

Now, you're going to complete the graded Quizizz activity.

Please take your time and do your best.