Solve and Graph Linear Inequalities Solving Inequalities Graph Linear Inequalities Same process as linear equations except... The direction of the inequality changes

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.

1.1.6

Two more than a number is less than ten.

1.1.7

A quarter of three less than a number is at least fifteen. 1.1.6

x + 2 < 10

x < 8

1.1.7

1.1.8

Five fewer than a value is greater than seven.

1.1.9

Three times a number is at most

thirty-seven.

1.1.10

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.

1.1.12

Seven less than two-thirds of a number is greater than two more than half of the same number. x - 5 > 7

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# Alg 2 - 1.1 Solve and Graph Linear Inequalities

Solve and Graph Linear Inequalities

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