x > 1 is the required solution of the given inequality - 3x + 7 < 4. This can be obtained by solving the inequality the same way as we solve an algebraic equation.
<h3>Solve the inequality:</h3>
The inequality can be solved as the same way as we solve an algebraic equation.
- Combine the terms with variables to one side and constants to other side.
- To multiply the whole inequality with negative terms we reverse the sign of the inequality.
Here in the question the inequality to be solved is given:
- 3x + 7 < 4
By subtracting 7 from both sides of the inequality we get,
⇒ - 3x + 7 - 7 < 4 - 7
⇒ - 3x < - 3
To make the side of the inequality with variable x positive we multiply the whole equation with - 1, then we have to reverse the sign of inequality since we have to multiply the whole inequality with a negative term,
we get,
⇒ 3 x > 3
Now finally by dividing the whole inequality by 3 we get,
⇒ x > 1
The number line representation can be done by marking values from 1 to numbers greater than 1.
Hence x > 1 is the required solution of the given inequality - 3x + 7 < 4.
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To simplify √((2x)^2)√2y, we
must multiply the indices of both roots and the coefficients that within both roots. As we can see bellow, we get a root which has index 4:
=((2x)^(2y))^1/4
Finally, the factor (2x)^2 has an exponent which is divisible by the index of the root, so it can be simplified, as it's shown in the following step:
=
(2x)(2y)^1/4
Answer:
10(x - 12)
Step-by-step explanation:
10(x - 12)
10x - 120 Distributive Property
Answer:
B. (1,4)
Step-by-step explanation:
you see the x and y coordinate by looking at the numbers (x,y) = (1,4)