Transcript Solve and Graph x – 4

Over Lesson 5–3
Solve and Graph x – 4 > -1
Solve and Graph y + 3 ≤ 6
A.
B.
C.
D.
A
B
C
D
You have already used the Properties of
Equality to solve equations.
(Lessons 4–3 and 4–4)
Solve inequalities with Addition and
Subtraction.
• Solve inequalities with Multiplication and
Division
Yesterday we covered…
• To solve inequalites with Addition and Subtraction,
we just pretend it is equal to start.
• We solve this and use the “equal” number as the
critical point on the graph.
• Then we test values to see which way to shade.
• Lastly, we make sure we convert it back to an
inequality by looking at the graph
• Today we will use those same skills!
Solve an Inequality
Solve 3x > 12.
3x > 12 Write the inequality.
3x = 12 Pretend it is equal
3
3 Divide both sides by 3
x =4
This is our critical point (graph it)
0
4
Test values to the left and right of 4. Plug in 0 into the
original inequality. Does it work? Try 5 into the original
inequality. Does it work? Now shade!
Answer: The solution is x > 4.
Solve an Inequality
Solve -2x ≤ -14.
-2x ≤ -14
Write the inequality.
-2x = -14
Pretend it is equal
-2
Divide both sides by -2
x
-2
=7
This is our critical point (graph it)
0
7
Test values to the left and right of 7. Plug in 0 into the
original inequality. Does it work? Try 8 into the original
inequality. Does it work? Now shade!
Answer: The solution is x ≥ 7.
Solve an Inequality
Solve
Write the inequality.
Pretend it is equal
Multiply both sides by 4.
a = -8
This is our critical point (graph it)
-8
0
Test Values; try -12 to the left and 0 to the right. Does it work?
Answer: The solution is a < -8.
Solve an Inequality
Solve
Write the inequality.
Pretend it is equal
Multiply both sides by -3.
C
-12
= -12
This is our critical point (graph it)
0
Test values; try -15 to the left and 0 to the right. Do they work?
Answer: The solution is c ≤ -12.
Let’s do some
practice at our seats
with this worksheet I
am about to handout!