QuestionSolve the inequality $-4 x \geq 28$ and graph the solution.

Studdy Solution

STEP 1

Assumptions1. The inequality given is $-4x \geq28$ . We need to solve for $x$ and graph the solution

STEP 2

First, we need to isolate $x$ by dividing both sides of the inequality by $-4$ . Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
$x \leq \frac{28}{-4}$

STEP 3

Now, calculate the value of $x$ .
$x \leq \frac{28}{-} = -7$

STEP 4

Now that we have the solution $x \leq -7$ , we can graph this on a number line.1. Draw a number line and mark the point $-7$ on it.
2. Since the inequality is $x \leq -7$ , we fill in the circle at $-7$ to indicate that $-7$ is included in the solution.
3. Draw a line to the left of $-7$ to indicate that all numbers less than or equal to $-7$ are solutions to the inequality.
The solution to the inequality $-4x \geq28$ is $x \leq -7$ and it is graphed on a number line with a filled circle at $-7$ and a line extending to the left of $-7$ .

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