Notes
Solving
One-Step Inequalities
Seemingly random review
1) Solve: 𝑥 + (−4) = −6
2) Name 3 numbers larger than your answer to #1
BIG IDEA #1 : Our goal with inequalities is to get a _______________ on one
side of the symbol and a _______________ on the other. We do this using the
same skills we use for _________________.
BIG IDEA #2 : Once we solve, a ________________ is any number we could
replace for the variable, and it gives us a true statement.
Example 1 : 𝑥 + (−4) > −6
Possible solutions:_______________
Example 2 :
Possible solutions:_______________
20 ≤ 5𝑥
BIG IDEA #3 : When you’re solving the problem, if you ____________ or a divide
both sides by a _____________, you FLIP the way the symbol faces. It must be
BOTH!
Example 3 :
7<
𝑦
Example 4 : −6𝑚 ≥ −12
−3
IMPORTANT NOTE: It only matters if the number on the same side as the letter
is negative. We don’t care if the number on the OTHER side is negative!
You try!
𝑚
1) 𝑥 + 8 ≥ 18
2)
4) −7 + 𝑛 ≤ −8
5) −12 < 6𝑟
7) 𝑛 − (−4) ≥ 13
8) 6 ≤
10 <
9
𝑘
−2
3) 𝑤 − 1 > −6
6) −4𝑥 ≥ 4
9) 17 + 𝑒 < 10