Answer:
A, B, D
Step-by-step explanation:
Use the LCM to help...
9514 1404 393
Answer:
- x ≤ 4
- x > 10
- x ≤ -7
Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
__
2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
__
3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
_____
<em>Additional comment</em>
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
<span>6.3
Looking at the triangle, you can see that point D bisects line segment AB and that point E bisects line segment BC. In fact, you can easily determine that triangles ABC and DBE are similar triangles with DBE having sides that are half the length of the respective sides in ABC. And since line segment DE corresponds to line segment AC which is 12.6 units long, line segment DE is 12.6/2 = 6.3 units long.</span>
Answer:
x = -5
y = -2
Step-by-step explanation:
<em><u>Since you have y, plug that into the equation:</u></em>
-2x - 7y = 24
-2x - 7(-2) = 24
-2x + 14 = 24
<u><em>Then, subtract 14 from both sides:</em></u>
-2x + 14 = 24
- 14 - 14
__________
-2x = 10
<u><em>Finally, divide both sides by -2:</em></u>
-2x = 10
x = -5
So now you have, x = -5 and y = -2.