Inequality Vocabulary
what is an inequality
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers
How do you isolate the variable term in an inequality?
undo addition or subtraction, then undo multiplication or division
Solve the inequality: 3x - 7 < 20.
x <27/3
This symbol ≤ is used to represent.
less than
To solve an inequality, you often start by isolating this term
x
If a < b, what symbol would be used to represent "greater than"?
<
What is the rule for solving an inequality involving multiplication or division with a negative coefficient?
reverse the inequality sign
-2(x + 4) ≥ 10
x≤−7
What symbol is used to represent
greater than or equal to
When multiplying or dividing both sides of an inequality by a negative number, this happens to the inequality sign.
they flip to the other side
What do we call the value that makes an inequality true
solution
When multiplying or dividing both sides of an inequality by a negative number, what happens to the direction of the inequality sign?
it must be reversed
-4 ≤ 2x + 3 < 7
−27≤x<2
In mathematics, this symbol is used to indicate
not equal to
What's the first step in solving the inequality 2x + 5 < 15
subtract both sides
What symbol is used to represent "less than or equal to" in an inequality?
≤,≥
What is the first step when solving a two-step inequality?
undo addition or subtraction
2x - 5| > 3.
x<1 or x>4x>4
This symbol is used to represent
less than or equal to
Solve the inequality 3(x - 4) ≥ 6
x≥6
What is the term for a mathematical expression that compares two quantities, showing their relative sizes?
inequality
In the inequality 2x + 5 > 15, what is the term "2x" called
variable term
x/3+2>5
x>9
In an inequality this symbol separates the left side from the right side
<
Solve the inequalit 2(3x - 1) > 10
x>2