Idk how to do this equation, please help! I don't want the straight answer, I just need guidance on how to do it.
Here's the problem:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
4x + 6 < -6
Subtract 6 from both sides.
Then divide both sides by 4.
Subtract 6 from both sides, then divide both sides by 4. When you multiply/divide, you need to reverse the carat.
The sign is reversed only when the divisor is negative.
https://www.google.com/search?source=hp&ei=MhfYXb7JKM2isAWch77oDg&q=inequality+reverse+sign&oq=inequality+reverse&gs_l=psy-ab.1.0.0l2j0i22i30l8.1964.9683..14483...0.0..0.181.1977.16j4......0....1..gws-wiz.....6..0i131j0i362i308i154i357j0i70i249j0i22i10i30..10001%3A0%2C154.cw_izWqNTSo
You need to reverse the inequality sign only when you multiply/divide by a negative number. In this case we divided by +4, so no reversal
To solve the inequality 4x + 6 < -6, we need to isolate the variable x on one side of the inequality sign. Here's how you can approach this problem step by step:
Step 1: Move the constant term
Start by subtracting 6 from both sides of the inequality. This will cancel out the constant term on the left side and leave us with the variable term on the left side:
4x + 6 - 6 < -6 - 6
Simplifying the equation, we get:
4x < -12
Step 2: Divide by the coefficient of x
To isolate x, we need to divide both sides of the inequality by the coefficient that is multiplying x, which is 4. Remember to flip the inequality sign when dividing by a negative number.
(4x)/4 < -12/4
Simplifying the equation, we get:
x < -3
So the solution to the inequality 4x + 6 < -6 is x < -3. Keep in mind that the inequality sign remains the same (<) since we did not multiply or divide both sides of the inequality by a negative number (only dividing by the positive coefficient).