Chapter 2: Q332. (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{9}{4} x \geq - \frac{5}{12}$

Short Answer

Expert verified

$x \leq \frac{5}{27}$

$(- \infty, \frac{5}{27}]$

Step by step solution

Step 1. Given information.

The following inequality is given:

$- \frac{9}{4} x \geq - \frac{5}{12}$

Step 2. Solve the inequality.

Multiply both sides by 12

$- 12 \times \frac{9}{4} x \geq - 12 \times \frac{5}{12} - 27 x \geq - 5$

Divide both sides by -27 (this will reverse the inequality since the division is performed by a negative number)

$\frac{- 27 x}{- 27} \leq \frac{- 5}{- 27} x \leq \frac{5}{27}$

Step 3. Graphing the solution on the number line.

The graph of the solution on the number line is presented below:

Step 4. Writing the solution in interval notation.

In interval notation, the solution can be written as

$(- \infty, \frac{5}{27}]$

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Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{9}{4} x \geq - \frac{5}{12}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the inequality.

Step 3. Graphing the solution on the number line.

Step 4. Writing the solution in interval notation.

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Solve the inequality, graph the solution on the number line and write the solution in interval notation:-94x≥-512

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Solve the inequality.

Step 3. Graphing the solution on the number line.

Step 4. Writing the solution in interval notation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Applied Mathematics

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Solve the inequality, graph the solution on the number line and write the solution in interval notation:
$- \frac{9}{4} x \geq - \frac{5}{12}$