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  1. Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality. In this unit inequalities are solved by using algebra and by using graphs.

  2. corbettmaths.com › wp-content › uploadsSolving Inequalities

    Solve the inequality to Jind the possible range of values for x. List the possible values of y.

  3. To solve our inequality we need to find the values of x for which the hyperbola lies on or under the line y =1.(5,1) is the point of intersection. So, from the graph we see that 1 x−4 ≤ 1 when x<4orx ≥ 5. 4. Solve x−3 < 10 x. Consider x−3=10 x, x =0. Multiply by x we get x2 −3x =10 x2 −3x−10 = 0 (x−5)(x+2) = 0 Therefore, the ...

  4. Use a graphing calculator to solve (a) 2x − 1 < x + 2 and (b) 2x − 1 ≤ x + 2. SOLUTION a. Enter the inequality 2x − 1 < x + 2 into a graphing calculator. Press graph. Y1=2X-1<X+2 Y2= Y3= Y4= Y5= Y6= Y7= Use the inequality symbol <. −4 −3 3 4 x < 3 x = 3 The solution of the inequality is x < 3. b.

  5. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.

  6. Absolute value inequalities can be solved using the basic concept underlying the property of absolute value equalities. Whereas the equation asks for all numbers

  7. Solve Compound Inequalities Key Vocabulary † compound inequality EXAMPLE 1 Write and graph compound inequalities Translate the verbal phrase into an inequality. Then graph the inequality. a. All real numbers that are greater than 2 2and less than 3 Inequality: 22 < x < 3 Graph: b. All real numbers that are less than 0 greater than or equal to 2or

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