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Alg 2 - 1.1 Solve and Graph Linear Inequalities
Transcript of Alg 2 - 1.1 Solve and Graph Linear Inequalities
when we multiply or divide by a negative number. Examples As a Group "x is greater than or equal to 5" "x is less than negative 7" Important symbols "<" is less than ">" is greater than "≤" is less than or equal to "≥" is greater than or equal to Once the inequality has been algebraically
solved, it is now time to graphically solve
the inequality. Draw a horizontal number line In which direction are "greater" numbers? And lesser numbers are to the... left. Strict inequalities are
not equal to (< and >) Use an open circle The other two types of inequalities
(≤ and ≥) Use a closed circle Examples Graph the solutions
to 1.1.1 and 1.1.2 Write the following problems as algebraic inequalities, then solve and graph them.
Two more than a number is less than ten.
A quarter of three less than a number is at least fifteen. 1.1.6
x + 2 < 10
x < 8
Five fewer than a value is greater than seven.
Three times a number is at most
Twice a number is less than twelve
more than half the number.
x ≥ 63 The value of x is less than eight.
The value of x is greater than or equal to 63. 1.1.11
A number is at least eight more than three times itself.
Seven less than two-thirds of a number is greater than two more than half of the same number. x - 5 > 7