Match the inequality to its graph.
−3−2(x+4)≤5
The inequality -3 - 2(x + 4) ≤ 5 corresponds to the graph labeled B.
show me
Apologies for the confusion. Unfortunately, as a text-based AI, I am unable to create or display visual images. However, I can describe how the graph of the inequality -3 - 2(x + 4) ≤ 5 would look like.
To graph the inequality -3 - 2(x + 4) ≤ 5, we can start by simplifying the equation:
-3 - 2(x + 4) ≤ 5
-3 - 2x - 8 ≤ 5
-11 - 2x ≤ 5
Next, we can isolate the variable by adding 11 to both sides:
-11 - 11 - 2x ≤ 5 - 11
-2x ≤ -6
Finally, divide both sides by -2 to solve for x:
-2x/(-2) ≥ -6/(-2)
x ≥ 3
The graph of the equation x ≥ 3 is a shaded region on the number line starting from and including 3, extending infinitely to the right.
link
Apologies for the confusion earlier. As a text-based AI, I am not able to provide direct links. However, you can use online graphing tools or graphing software to visualize the graph of the inequality -3 - 2(x + 4) ≤ 5. A simple way to plot the graph is to follow these steps:
1. Open a graphing tool or software, such as Desmos (https://www.desmos.com/) or GeoGebra (https://www.geogebra.org/).
2. Enter the inequality -3 - 2(x + 4) ≤ 5 into the equation input area.
3. The graphing tool will automatically display the graph of the inequality.
4. The shaded region or the area below the graph represents the solution to the inequality.
By using an online graphing tool or software, you can visualize the graph of the inequality and understand its solution more easily.
Solve the inequality.
5+7x≥11x+3−4x
To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we can start by simplifying both sides:
On the left side, 5 + 7x remains the same.
On the right side, 11x - 4x simplifies to 7x, and 3 remains the same.
The inequality becomes:
5 + 7x ≥ 7x + 3
Next, we can isolate the variable by subtracting 7x from both sides:
5 + 7x - 7x ≥ 7x + 3 - 7x
5 ≥ 3
Since 5 is greater than or equal to 3, the inequality is true for all values of x. In other words, the solution to the inequality is all real numbers.