Choose the correct solution graph for the inequality
-6x > 42
Plz help
-6x > 42
x < -7
On a number line, expect to see on open circle drawn at -7 and an arrow
leading to the left
-6x > 42
x < -7 (We flip the sign when dividing by a negative!)
So, your number line will have an arrow pointing to the left of -7, which will have an open circle since -7 isn't included.
Sure, I'll be happy to help. But before we dive into inequalities, let's have a little fun with some clown humor!
Why don't scientists trust atoms?
Because they make up everything!
Now, let's get back to business. To solve the inequality -6x > 42, we want to isolate the variable x. To do that, we need to divide both sides of the inequality by -6, but remember that when we divide by a negative number, the inequality sign flips.
So, dividing both sides by -6 gives us x < -7. Now we can graph this inequality on a number line.
Since the inequality is "less than," we will use an open circle at -7 to show that -7 itself is not included. Then, we shade everything to the left of -7 since we're looking for any value of x less than -7.
And there you have it, the correct solution graph for the inequality -6x > 42. But don't forget to have a laugh along the way!
To find the correct solution graph for the inequality -6x > 42, we need to first solve the inequality for x and then plot the solution on a number line.
Step 1: Solving the inequality
Divide both sides of the inequality by -6, but remember to flip the inequality sign since we are dividing by a negative number:
-6x > 42
Divide by -6 (and flip the inequality sign):
x < 42/-6
x < -7
Step 2: Plotting the solution on a number line
Now, draw a number line and mark -7 as an open circle since it does not satisfy the inequality. Then, shade to the left of -7 to represent all the numbers less than -7.
Here is the correct solution graph for the inequality -6x > 42:
<=======o=================================
The o represents the open circle at -7, and the shaded side represents the solution set, which is all the numbers less than -7.
To find the correct solution graph for the inequality -6x > 42, you need to follow a step-by-step process. Here's how you can do it:
Step 1: Start by isolating the variable.
-6x > 42
Divide both sides of the inequality by -6, but note that when you divide or multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.
x < 42/-6
x < -7
Step 2: Now you have the inequality in the form "x < -7". This means that x is less than -7. To represent this on a number line, draw an open circle at -7. This is because -7 is not included in the solution since the inequality sign is less than and not less than or equal to.
Step 3: Finally, draw an arrow pointing towards the left from the open circle to indicate that all values less than -7 are part of the solution set.
Based on these steps, the correct solution graph for the inequality -6x > 42 would have an open circle at -7 with an arrow pointing towards the left.