Question

graphing $x\geq3$ is done with a closed circle at 3 and a shaded line with an arrow to the of the 3. when both sides of an inequality are multiplied or divided by a negative number, the inequality sign. the inequality $\frac{x}{4}<4$ can be solved by both sides by 4. to solve the inequality $5x + 5>15$, the first step is to 5 from both sides.

Explanation:

First blank:

When graphing \(x\geq3\), since \(x\) is greater than or equal to \(3\), the arrow goes to the right.

Second blank:

According to the inequality property, when both sides of an inequality are multiplied or divided by a negative number, the inequality sign reverses.

Third blank:

For the inequality \(\frac{x}{4}<4\), to solve for \(x\), we multiply both sides by \(4\) (using the multiplication property of inequalities).

Fourth blank:

For the inequality \(5x + 5>15\), using the subtraction property of inequalities, the first step is to subtract \(5\) from both sides.

Answer:

1. right
2. reverses
3. multiplying
4. subtract