Slide 1 : 1 Solving Inequalities
Slide 2 : 2 Main Content Solving inequalities by adding or subtracting Solving equations by adding or subtracting Essential Skills
Slide 3 : 3 Solving equations by adding or subtracting Essential Skills
Slide 4 : 4 An “equation” is a mathematical sentence containing an equal to
sign, which suggests that expressions written on either side of
the equal to sign are equal.
Example: n + 7 = 10 Writing an Algebraic Expression
Slide 5 : 5 Solve the Equation Solve: x + 3 = 10
Slide 6 : 6 Q) Solve for the value of x: x + 6 = 7
x = 1
x = -1
x = 0
None of the above
Slide 7 : 7 Q) Solve for the value of a: a - 3 = 2
a = 1
a = 5
a = -1
None of the above
Slide 8 : 8 Main Content Solving inequalities by adding or subtracting
Slide 9 : 9 An inequality is a mathematical sentence that uses symbols such
as <, or >, ≤ or ≥ to compare two quantities.
An inequality is like an equation, but instead of an equal to
sign (=) it has one of the following signs:
< : less than > : greater than
≤ : less than or equal to ≥ : greater than or equal to Inequality
Slide 10 : 10 Let’s say there are ‘y’ number of students at a funfair.
If there are less than 200 students, we write y < 200.
This is an inequality. It has many answers,
i.e. ‘y’ can have any numerical value that is less than 200. Example
Slide 11 : 11 Additive Property of Inequality The “additive property of inequality” states that adding the same
number to both sides of an inequality does not affect the
inequality.
Slide 12 : 12 Solve: k – 5 > 1 Solving Inequalities by Adding or Subtracting
Slide 13 : 13 A) g < 3
B) g > 2
C) g > -18
D) g > -3 Q) Solve: 10 + g < 13
Slide 14 : 14 A) n > -19
B) n > -16
C) n < 16
D) n < 42 Q) Solve: 29 + n > 13
Slide 15 : 15 A) p ≥ -17
B) p ≥ 17
C) p ≤ -17
D) p ≥ 15 Q) Solve: 24 ≤ p + 7
Slide 16 : 16 A) k < 6
B) k > 6
C) k < 0
D) k > 0 Q) Solve: -3 > -3 + k
Slide 17 : 17 A) p ≥ 37
B) p ≥ 17
C) p ≥ -18
D) p ≥ 39 Q) Look at the inequality below.
p - 11 ≥ 28
What is the solution to the inequality?
Slide 18 : 18 A) p ≤ 38
B) p ≤ 28
C) p ≤ 20
D) p < 28 Q) Look at the inequality below.
p - 4 ≤ 24
What is the solution to the inequality?
Slide 19 : 19 Q) Solve the following inequality and plot it on the number line:
k + 4 ≥ 8
Slide 20 : 20 Q) Solve the following inequality and plot it on the number line:
-9 + x > -26
Slide 21 : 21 Q) Solve the following inequality and plot it on the number line:
6 ≤ 3 + y
Slide 22 : 22 A)
B)
C)
D) Q) Which graph represents the solution to the inequality d - 5 > -5?
Slide 23 : 23 -3 -2 -1 0 1 2 3 4 -3 -2 -1 0 1 2 3 4 -6 -5 -4 -3 -2 -1 0 1 -6 -5 -4 -3 -2 -1 0 1 Q) Which graph represents the solution to the inequality d - 7 > -9? A)
B)
C)
D)
Slide 24 : 24 Q) Which graph represents the solution to the inequality 5 + s ≥ -4? A)
B)
C)
D)
Slide 25 : 25 Q) Teresa graphed the solution of an inequality.
Which inequality could Teresa have solved and graphed? -8 -7 -6 -5 -4 -3 -2 -1 A) t + 4 ≤ -2
B) t – 6 ≤ 4
C) t – 12 ≤ -10
D) t + 10 ≤ 8
Slide 26 : 26 Q) Jude graphed the solution of an inequality.
Which inequality could Jude have solved and graphed? -4 -3 -2 -1 0 1 2 3 A) u + 5 < -32
B) u – 5 < 3
C) u – 5 < -3
D) u + 5 < 3
Slide 27 : 27 Q) Jim graphed the solution of an inequality
Which inequality could Jim have solved and graphed? 11 12 13 14 15 16 17 18 A) 5 - z ≥ 7
B) -5 + z ≥ 7
C) -5 - z ≥ 7
D) 5 + z ≥ 7
Slide 28 : 28 28 Quick Recap! Q) Solve: p – 15 > -3