Question

day 4
solve each of the following equations and inequalities.

1. $22 = -11k$
2. $x - 11 = 16$
3. $k = square$
4. $v + 29 = -5$
5. $3 + v \leq -9$
6. $v = square$
7. $12n \geq 84$
8. $\frac{t}{3} < 6$
9. $n$ select

Explanation:

Step1: Isolate k, divide by -11

$\frac{22}{-11} = \frac{-11k}{-11}$

Step2: Calculate k value

$k = -2$
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Step1: Isolate v, subtract 29

$v = -5 - 29$

Step2: Calculate v value

$v = -34$
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Step1: Isolate n, divide by 12

$\frac{12n}{12} \geq \frac{84}{12}$

Step2: Calculate n inequality

$n \geq 7$
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Step1: Isolate x, add 11

$x = 16 + 11$

Step2: Calculate x value

$x = 27$
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Step1: Isolate v, subtract 3

$v \leq -9 - 3$

Step2: Calculate v inequality

$v \leq -12$
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Step1: Multiply all terms by 3

$5f < 6 \times 3$

Step2: Isolate f, divide by 5

$f < \frac{18}{5}$

Step3: Simplify the fraction

$f < 3.6$

Answer:

1. $k = -2$
2. $v = -34$
3. $n \geq 7$
4. $x = 27$
5. $v \leq -12$
6. $f < \frac{18}{5}$ (or $f < 3.6$)