The inequality –4(x – 1) ≤ 2(x + 1) is equivalent to
(A) x ≥ – 1 3
(B) x ≤ – 1 3
(C) x ≥ 1 3
(D) x ≤ 1 3
(E) x ≤ 3
Answers
Answer:
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Step-by-step explanation:
Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤.
Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤.The addition property of inequality says that adding the same number to each side of the inequality produces an equivalent inequality
Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤.The addition property of inequality says that adding the same number to each side of the inequality produces an equivalent inequalityIfx>y,thenx+z>y+z
Ifx<y,thenx+z<y+z
The subtraction property of inequality tells us that subtracting the same number from both sides of an inequality gives an equivalent inequality.
The subtraction property of inequality tells us that subtracting the same number from both sides of an inequality gives an equivalent inequality.Ifx>y,thenx−z>y−z
Ifx<y,thenx−z<y−z
The multiplication property of inequality tells us that multiplication on both sides of an inequality with a positive number produces an equivalent inequality.
The multiplication property of inequality tells us that multiplication on both sides of an inequality with a positive number produces an equivalent inequality.Ifx>yandz>0,thenxz>yz
Ifx<yandz>0,thenxz<yz
Multiplication in each side of an inequality with a negative number on the other hand does not produce an equivalent inequality unless we also reverse the direction of the inequality symbol