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Sole and graph on a number line.

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Solve and graph on a number line.
A. x - 1/6 ≥ 2/3 
B. -4x ≥ 24
asked May 29, 2014 in ALGEBRA 1 by SanMar Rookie

2 Answers

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A) The inequality is x - 1/6 ≥ 2/3.

Apply addition property of inequality: .

x - 1/6 + 1/6 ≥ 2/3 + 1/6

x  ≥ 2/3 + 1/6

Take Least Common Multiple of 3 and 6 i.e., 6.

x  (2*2 + 1) / 6

x  (4 + 1) / 6

x  5 / 6

The solution set is {x | x  5 / 6}.

Graph the solution set on a number line.

A dot means that this point is included in the solution set.

answered May 29, 2014 by joly Scholar
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(B). The inequality is - 4x ≥ 24.

Apply division property of inequality : If a ≥ b, then a/c ≤ b/c where c < 0 (c is negative).

Divide each side by negative 4 and reverse the inequality symbol.

(- 4x) / (- 4) (6*4) / (- 4)

Cancel common terms.

x - 6.

The solution set is {x | x - 6} and its graph is

graph the inequality x<=-6

A dot means that this point is included in the solution set.

answered May 29, 2014 by casacop Expert

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