The correct statements are options C and option D.
- - 6x + 15 < 10 - 5x ⇒ 3rd answer
- An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
<h3 /><h3>What is inequality?</h3>
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The inequality is -3(2x - 5) < 5(2 - x)
At first, simplify each side
-3(2x - 5) = -3(2x) + -3(-5)
Remember (-)(-) = (+)
-3(2x - 5) = - 6x + 15
5(2 - x) = 5(2) + 5(-x)
Remember (+)(-) = (-)
5(2 - x) = 10 - 5x
- 6x + 15 < 10 - 5x
Subtract 15 from both sides
- 6x < -5 - 5x
Add 5x to both sides
- x < - 5
Remember the coefficient of x is negative, then when you divide both sides by it you must reverse the sign of inequality
The coefficient of x is -1
Divide both sides by -1
x > 5
Therefore the correct statements are options C and option D.
- - 6x + 15 < 10 - 5x ⇒ 3rd answer
- An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
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