1. DETAILS HARMATHAP12 4.5.001.EP. Consider the inequality. 2х — у 2 6 .... To express this inequality as a < constraint, multiply both sides of the inequality t v ? Express the inequality as a < constraint. -1 1/2 1 o -2x + y < -6 2 O 2x - y s -6 o -2x + y < 6 2. DETAILS HARMATHAP12 4.5.003. Express the inequality as a < constraint. y > 38 – 9x O 9x - y < 38 O 9x + y s -38 o -9x - y s 38 o -9x - y < -38 o -9x + y < -38

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PLEASE help me figure out these two questions 
Q. 1) Consider the inequality 2x − y ≥ 6. To express this inequality as a ≤ constraint, multiply both sides of the inequality by (which of the choices)
 
Q. 2) Express the inequality as a ≤ constraint y ≥ 38 − 9x
### Inequality Transformation Exercises

#### Exercise 1: HARMATHAP12 4.5.001.EP

**Problem Statement:**
Consider the inequality:

\[ 2x - y \geq 6 \]

To express this inequality as a \(\leq\) constraint, multiply both sides of the inequality by \((-1)\).

**Express the inequality as a \(\leq\) constraint:**

- \(\frac{1}{2}x - y \leq \frac{1}{6}\)
- \(-2x + y \leq -6\)
- \(-\frac{1}{2}x + y \leq -\frac{1}{6}\)
- \(2x - y \leq -6\)
- \(-2x + y \leq 6\)

**Answer Options:** Featured is a dropdown with options: -1, 1/2, 1, 2, 6.


#### Exercise 2: HARMATHAP12 4.5.003

**Problem Statement:**
Express the inequality as a \(\leq\) constraint:

\[ y \geq 38 - 9x \]

**Express the inequality as a \(\leq\) constraint:**

- \(9x - y \leq 38\)
- \(9x + y \leq -38\)
- \(-9x - y \leq 38\)
- \(-9x - y \leq -38\)
- \(-9x + y \leq -38\)

----

Each exercise involves transforming a given inequality into a different form, specifically converting from \(\geq\) to \(\leq\). These exercises are designed to aid students in understanding the manipulation of inequalities, an essential mathematical skill.
Transcribed Image Text:### Inequality Transformation Exercises #### Exercise 1: HARMATHAP12 4.5.001.EP **Problem Statement:** Consider the inequality: \[ 2x - y \geq 6 \] To express this inequality as a \(\leq\) constraint, multiply both sides of the inequality by \((-1)\). **Express the inequality as a \(\leq\) constraint:** - \(\frac{1}{2}x - y \leq \frac{1}{6}\) - \(-2x + y \leq -6\) - \(-\frac{1}{2}x + y \leq -\frac{1}{6}\) - \(2x - y \leq -6\) - \(-2x + y \leq 6\) **Answer Options:** Featured is a dropdown with options: -1, 1/2, 1, 2, 6. #### Exercise 2: HARMATHAP12 4.5.003 **Problem Statement:** Express the inequality as a \(\leq\) constraint: \[ y \geq 38 - 9x \] **Express the inequality as a \(\leq\) constraint:** - \(9x - y \leq 38\) - \(9x + y \leq -38\) - \(-9x - y \leq 38\) - \(-9x - y \leq -38\) - \(-9x + y \leq -38\) ---- Each exercise involves transforming a given inequality into a different form, specifically converting from \(\geq\) to \(\leq\). These exercises are designed to aid students in understanding the manipulation of inequalities, an essential mathematical skill.
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