25.) Solve the compound inequality.
1 answer:
The right answer is Option C: x< -5 or x>2
Step-by-step explanation:
Given inequalities are;
2x – 2 < –12 or 2x + 3 > 7
We will solve first inequality;
2x – 2 < –12
Adding 2 on both sides;
Dividing both sides by 2
Solving the second inequality
2x + 3 > 7
Subtracting 3 from both sides
Dividing both sides by 2
Therefore;
x< -5 or x>2
The right answer is Option C: x< -5 or x>2
Keywords: inequality, division
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Answer:
Step-by-step explanation:
1.
Simplify the expression by combining like terms. Remember, like terms have the same variable part, to simplify these terms, one performs operations between the coefficients. Please note that a variable with an exponent is not the same as a variable without the exponent. A term with no variable part is referred to as a constant, constants are like terms.
2.
Use a very similar method to solve this problem as used in the first. Please note that all of the rules mentioned in the first problem also apply to this problem; for that matter, the rules mentioned in the first problem generally apply to any pre-algebra problem.
3.
Use the same rules as applied in the first problem. Also, keep the distributive property in mind. In simple terms, the distributive property states the following (). Also note, a term raised to an exponent is equal to the term times itself the number of times the exponent indicates. In the event that the term raised to an exponent is a constant, one can simplify it. Apply these properties here,
4.
The same method used to solve problem (3) can be applied to this problem.