Writing and Solving One-Step
Inequalities
Warm Up
When you add the same number
to both sides of an inequality, is
the inequality still true?
Explain how you know that
your conjecture holds for
subtracting the same number.
• What do you notice when you divide
both sides of an inequality by the
same negative number?
• What could you do to make the
inequalities that are not true into
true statements?
• Explain how you know that your
conjecture holds for multiplying both
sides of an inequality by a negative
number.
X + 5 < -12
8≤y–3
Solve each inequality.
Graph and check your
solutions.
𝑦
≥5
3
-4x > 52
Solve each inequality.
Graph and check your solutions.
A marine submersible descends
more than 40 feet below sea level.
As it descends from sea level, the
change in elevation is -5 feet per
second. For how many seconds
does it descend?
Every month, $35 is withdrawn
from Tony’s savings account to pay
for his gym membership. He has
enough savings to withdraw no
more than $315. For how many
months can Tony pay for his gym
membership?