Answer:
Finding the Value of x In An Equation or Inequality
To find the value of x in an equation, apply the various properties of addition and multiplication. Simplify the equation. Be careful with the signs of the final answer. To find the value of x in an inequality, apply also the various properties of addition and multiplication. Simplify the inequality.
Learning Task 1:
Answers:
x = 3
x = 3
x = 18
x = 2
x = 4
x > 1
x < 3
x > 6
x < -3
x < 6
Solutions:
1. 2x = 6
\frac{2x}{2}
2
2x
= \frac{6}{2}
2
6
x = 3
2. 2x + 2 = 8
2x + 2 - 2 = 8 - 2
2x = 6
\frac{2x}{2}
2
2x
= \frac{6}{2}
2
6
x = 3
3. \frac{x}{6}
6
x
= 3
(x)(1) = (6)(3)
x = 18
4. 3(x - 2) = 0
3x - 6 = 0
3x - 6 + 6 = 0 + 6
3x = 6
\frac{3x}{3}
3
3x
= \frac{6}{3}
3
6
x = 2
5. 3 + x = 2x - 1
3 + -3 + x + -2x = 2x + -2x - 1 + -3
x - 2x = -1 - 3
-x = -4
\frac{-x}{-1}
−1
−x
= \frac{-4}{-1}
−1
−4
x = 4
6. 5x > 5
\frac{5x}{5}
5
5x
> \frac{5}{5}
5
5
x > 1
7. 3x - 4 < 5
3x - 4 + 4 < 5 + 4
3x < 9
\frac{3x}{3}
3
3x
< \frac{9}{3}
3
9
x < 3
8. \frac{2x}{3}
3
2x
> 4
(2x)(1) > (3)(4)
2x > 12
\frac{2x}{2}
2
2x
> \frac{12}{2}
2
12
x > 6
9. 2(x + 3) < 0
2x + 6 < 0
2x + 6 - 6 < 0 - 6
2x < -6
\frac{2x}{2}
2
2x
< \frac{-6}{2}
2
−6
x < -3
10. 5 + x < 2x - 1
5 - 5 + x - 2x < 2x + -2x -1 + -5
-x < - 6
\frac{-x}{-1}
−1
−x
< \frac{-6}{-1}
−1
−6
x < 6
How to find the value of x in the equation: https://brainly.ph/question/673490
How to find the value of x in the inequalities: https://brainly.ph/question/11723790
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