How do you solve -2/5x -9<9/10

Mathematics

1 answer:

Finger [1]4 years ago

5 0

Answer:

x > -99/4

Step-by-step explanation:

I must assume that you meant (-2/5)x -9<9/10.

This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:

10(-2/5)x - 10(9) < 10(9/10), or:

-4x - 90 < 9

Adding 90 to both sides results in:

-4x < 99

Here we must divide by a negative number (that is, by -4). This requires reversing the direction of the inequality sign:

x > -99/4 is the final solution.

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DIA [1.3K]

Answer:

$y = \frac{3}{2} x + 13$

Step-by-step explanation:

1) Use point-slope formula $y-y_1 = m (x-x_1)$ to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and $x_1$ and $y_1$ represent the x and y values of a point the line intersects. So, substitute $\frac{3}{2}$ for m, -4 for $x_1$ , and 7 for $y_1$ . Then, simplify and isolate y on the left side like so: