#10. Solve and graph this inequality: −2x + 8 + 5x ≥​ −10 You will need to move your point below to earn full credit. 👇

Answer 1

To solve the inequality, we will start by simplifying the left side of the inequality:

-2x + 8 + 5x ≥ -10

Combining like terms, we get:

3x + 8 ≥ -10

Next, we will isolate the variable x by subtracting 8 from both sides of the inequality:

3x + 8 - 8 ≥ -10 - 8

This simplifies to:

3x ≥ -18

Finally, we will divide both sides of the inequality by 3 to solve for x:

x ≥ -18/3

Simplifying the right side:

x ≥ -6

Now, let's graph the solution on a number line. Since the inequality is "x is greater than or equal to -6", we will use a closed circle (to include -6) and shade to the right:

Number line:
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-6 -5 -4 -3

Graph:
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The shaded area represents the values of x that satisfy the inequality.