An inequality which describes all the solutions to 5x - 10 < 3x + 2 is x < 6.
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
By applying the distributive property, we have;
5x - 10 < 3x + 2
Subtract 3x from both sides;
5x - 10 - 3x < 3x + 2 - 3x
2x - 10 < 2
Add 10 to both sides;
2x - 10 + 10 < 2 + 10
2x < 12
Divide both sides by 2:
x < 12/2
x < 6.
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Answer: 7d-5
Step-by-step explanation:
You multiply 7 by anything inside of the parenthesis so 7(d) and 7(-1) after that you group together the similar variables in the equation which in this case is -7 and 2, so you do -7 + 2 which equals -5
The answer is D
-24 is less in value than -20
-20 is less in value than -18
-18 is less in value than -12
The correct answer is b: the function represents a direct variation because it has a positive constant rate charge of $10 per hour.
#9 see picture for answer