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vaieri [72.5K]
3 years ago
15

Solve.

Mathematics
2 answers:
OleMash [197]3 years ago
4 0

Answer:

x< -1.8

Step-by-step explanation:

-12x+13>35

We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.

-12x>22

We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8

faltersainse [42]3 years ago
3 0

ANSWER

x \:  <  \:    - 1\frac{ 5}{ 6}

EXPLANATION

The given inequality is

- 12x + 13 \:  >  \: 35

Add -13 to both sides to obtain;

- 12x + 13 - 13 \:  >  \: 35 - 13

Simplify to obtain:

- 12x + 0 \:  >  \:22

- 12x \:  >  \: 22

Divide both sides by -12 and reverse the inequality sign.

\frac{ - 12x}{ - 12}  \:  <  \:  \frac{ 22}{ - 12}

x \:  <  \:  \frac{ 22}{ - 12}

This simplifies to

x \:  <  \:    - \frac{ 11}{ 6}

We rewrite as mixed number

x \:  <  \:    - 1\frac{ 5}{ 6}

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