Solve the inequality. 5x - 7 < 8x + 8 The solution set is x |

Mathematics

2 answers:

Eddi Din [679]3 years ago

6 0

Answer:

-5 < x is correct, I double check her answer

timofeeve [1]3 years ago

5 0

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x - 5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

- 15/3< 3x/3

- 5 < x

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$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{1}{2}}[x-\stackrel{x_1}{(-5)}]\implies y+3=\cfrac{1}{2}(x+5) \\\\\\ y+3=\cfrac{1}{2}x+\cfrac{5}{2}\implies y=\cfrac{1}{2}x+\cfrac{5}{2}-3\implies y = \cfrac{1}{2}x-\cfrac{1}{2}$