Question

15 ( 3x - 42 < 0 )
16 ( 44 geq -8x - 44 )
17 ( 4x + 12 > -24 )
18 ( -17 leq -6x + 25 )

Explanation:

Step1: Isolate term with $x$

$3x < 42$

Step2: Solve for $x$

$x < \frac{42}{3} = 14$

---

Step1: Isolate term with $x$

$44 + 44 \geq -8x$
$88 \geq -8x$

Step2: Solve for $x$ (reverse inequality)

$x \geq \frac{88}{-8} = -11$

---

Step1: Isolate term with $x$

$4x > -24 - 12$
$4x > -36$

Step2: Solve for $x$

$x > \frac{-36}{4} = -9$

---

Step1: Isolate term with $x$

$-17 - 25 \leq -6x$
$-42 \leq -6x$

Step2: Solve for $x$ (reverse inequality)

$x \leq \frac{-42}{-6} = 7$

Answer:

1. $x < 14$
2. $x \geq -11$
3. $x > -9$
4. $x \leq 7$