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Compound Inequalities

Problems

Compound Inequalities

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Problem : Solve and graph: 2x + 2≤4x < 3x + 6


Graph of Solution
x≥1 and x < 6

Problem : Solve and graph: {x : - 2x + 2≤ -4}∪{x : 6x < 10 + x}


Graph of Solution
x≥3 or x < 2

Problem : Solve and graph: {x : 2x + 2≥4x - 4}∩{x : - 3x < }


Graph of Solution
x≤3 and x > 2

Problem : Solve and graph: 2x - 4 < 4 or x + 5≤2 - 2x


Graph of Solution
x < 4 or x≤ - 1
x < 4

Problem : Solve and graph: -4x≤4 or < 1


Graph of Solution
x≥ - 1 or x < 1
x = any real number.

Problem : Solve and graph: {x : x < 2}∩{x : 2(x - 1)≤2}


Graph of Solution
x < 2 and x≤2
x < 2

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