Prior Learning
• Students will be able to solve one-step
linear equations.
• Go over homework- ask questions.
• Take a quiz – this is a 3 level quiz.
Lesson Quiz
Solve each inequality and graph the solutions.
1. X + 4 < 1 x < –3
2. –5x ≥ 30
x ≤ –6
3.
4.
x≥6
x > 20
OBJECTIVE
• Students will solve and graph linear
inequalities involving more than onestep.
• Distribution included. – This is prior
knowledge
Solving multi-step inequalities
is like
solving multi-step equations.
If you can solve
2 x  3  11
you can solve
2 x  3  11
2 x  3  11
3 3
2 x?  8
2 2
x ? 4
2 x  3  11
3 3
2 x?  8
2 2
x ? 4
The only time it gets tricky
is when
the coefficient of x
is negative.
 5 x  9  26
Then you need to remember
the rule:
 5 x  9  26
Anytime you multiply or divide
both sides of an inequality
by a negative number,
you need to reverse the sign.
 5 x  9  26
The solution would look like
this:
 5 x  9  26
9 9
 5 x? 35
5 5
x ? 7
Solve this:
2 x  7  31
Is this what you did?
2 x  7  31
7 7
2 x  24
2 2
x  24
Try this:
x
 13  10
4
Is this what you did?
x
 13  10
 4  13  13
x
 4  3 4
4
x   12
Try this:
 10 x  1  89
Is this what you did?
 10 x  1  89
1 1
 10 x  90
 10  10
x 9
One more:
1
 x  15  14
3
Is this what you did?
1
 x  15  14
3  15  15
11

 3   x  1 3
 33
x  3
Check For Mastery so far!!!
• TIC TAC TOE with shoulder partner
• Please put both names on paper
• Name that starts closest to A goes first
Real World Connection
• Inequality becomes a way to think
• Limits in life….
So important this becomes a part of your
financial literacy in life