131.5 > β5.6π₯
What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification.
| 13x β 4 = β9(4+3x) + 12 | Given |
| 13x β 4 = β36 β 27x + 12 | a. |
| 13x β 4= β24 β 27x | b. |
| 40x β 4 = β24 | Addition Property of Equality |
| 40x = β20 | c. |
| x = β1/2 | Division Property of Equality |
What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification.
| β5(4x + 6) < β18x + 6 + 4x | Given |
| β20x β 30 < β18x + 6 + 4x | a. |
| β20x β 30 < β14x + 6 | Combine like terms |
| β6x β 30 < 6 | b. |
| β6x < 36 | c. |
| x > β6 | Division Property of Order |
131.5 > β5.6π₯ divide both sides by -5.6.....reverse the inequality sign since we're dividing by a negative
-131.5 / 5.6 < x
a. distributive property
b . simplification of -36 + 12 [ not sure about the name of this property ]
c. addition property of equality
a. distributive property
b. addition property of inequality
c. addition property of inequality
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