Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it
2 answers:
When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!
So you have 2x < 8.
Divide both sides by 2 to isolate the variable, x:
Your final inequality is x < 4.
So you have 2x < 8.
Divide both sides by 2 to isolate the variable, x:
Your final inequality is x < 4.
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The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).