Solve -3 < 2x + 3 < 5

Mathematics

1 answer:

lana [24]1 year ago

7 0

The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

Inequality:

When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.

Here the given Inequality is -3<2x+3≤5

⇒ -3<2x+3≤5

⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }

⇒-6 < 2x ≤ 2

⇒-3 < x ≤ 1

⇒-3 < x and x ≤ 1

⇒ x > -3 and x ≤1

Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).

Learn more about Inequality here:

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Korvikt [17]

Answer:

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Step-by-step explanation:

1. since a and c share the same squareroot x, you can combine these together.

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3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a

4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:

5a $\sqrt{5y}$ - 3b $\sqrt{5y}$

We can combine the two like terms and get the final answer above.

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3 years ago

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Lena [83]

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