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Inequalities

Problems

Inequalities

Properties of Inequalities

Problem : Are the following inequalities true or false?
a) 3 + 5 > 3×3
b) 3 + 5≥3×3
c) 3 + 5 < 3×3
d) 3 + 5≤3×3
e) 3 + 5≠3×3

a) False.
b) False.
c) True.
d) True.
e) True.

Problem : Are the following inequalities true or false?
a) 7 < 22 + 3
b) 7≤22 + 3
c) 7 > 22 + 3
d) 7≥22 + 3
e) 7≠22 + 3

a) False.
b) True.
c) False.
d) True.
e) False.

Problem : Does 5x - 12 > 12 - x hold for the following values of x ?
a) x = 2
b) x = 3
c) x = 4
d) x = 5
e) x = 6

a) No.
b) No.
c) No.
d) Yes.
e) Yes.

Problem : Find the solution set of from the replacement set {1, 2, 3, 4, 5} .

{1, 2, 3, 4}

Problem : Find the solution set of 2(x - 5)≠1 + x from the replacement set {10, 11, 12} .

{10, 12}

Problem : Find the solution set of 3(x - 4) < 4(x - 3) from the replacement set { -2, -1, 0, 1, 2} .

{1, 2}

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