Solve for xx and graph the solution on the number line below.
minus, 3, x, is less than, 27
−3x<
27
Answer
Attempt 1 out of 3
is less than< is greater than> is less than or equal to≤ is greater than or equal to≥ or or
Inequality Notation:
Number Line:
0
20
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve for x, divide both sides of the inequality by -3:
x > -9
The graph of the solution on the number line would show all values that are greater than -9.
Solve the inequality and graph the solution on the line provided.
minus, 20, plus, 5, x, is less than, minus, 30
−20+5x<
−30
Answer
Attempt 1 out of 3
is less than< is greater than> is less than or equal to≤ is greater than or equal to≥ or or
Inequality Notation:
Number Line:
0
20
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve for x, first combine like terms:
-20 + 5x < -30
This simplifies to:
5x < -10
Next, divide both sides of the inequality by 5:
x < -2
The graph of the solution on the number line would show all values that are less than -2.
To solve for x in the inequality -3x < 27, we need to isolate x.
First, divide both sides of the inequality by -3 to remove the coefficient in front of x. Remember, when dividing both sides of an inequality by a negative number, the inequality sign flips.
Therefore, dividing both sides by -3 gives us:
x > -9
Now, let's graph the solution on the number line.
1. Draw a number line with 0 in the middle.
2. Mark -9 as an open circle on the number line because x is not included in the solution.
3. Shade the region to the right of -9 to represent all the values of x that are greater than -9.
So, the solution to the inequality -3x < 27 is x > -9.
The number line should be shaded to the right of -9, with an open circle at -9.