How do you solve and graph $4 \geq 2 y - 5 \geq - 2$ $4>=2y-5>=-2$ ?

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How do you solve and graph $4 \geq 2 y - 5 \geq - 2$ $4>=2y-5>=-2$ ?

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Answer 1 · 2017-03-19T05:49:58

$\frac{9}{2} \geq y \geq \frac{3}{2}$ $9/2>=y>=3/2$

To graph this, place solid dots over $\frac{9}{2}$ $9/2$ and $\frac{3}{2}$ $3/2$ (to indicate that both points are part of the solution) and connect the two points with a line segment.

Explanation:

When approaching a problem like this, we're actually doing two inequalities at the same time. What we do to the middle we must do to both sides:

$4 \geq 2 y - 5 \geq - 2$ $4 >= 2y-5 >= -2$

We can add 5 to all sides:

$4 + 5 \geq 2 y - 5 + 5 \geq - 2 + 5$ $4color(red)(+5) >= 2y-5color(red)(+5) >= -2color(red)(+5)$

$9 \geq 2 y \geq 3$ $9>=2y>=3$

And now divide all sides by 2:

$\frac{9}{2} \geq \frac{2 y}{2} \geq \frac{3}{2}$ $9/color(red)(2)>=(2y)/color(red)(2)>=3/color(red)(2)$

$\frac{9}{2} \geq y \geq \frac{3}{2}$ $9/2>=y>=3/2$

To graph this, place solid dots over $\frac{9}{2}$ $9/2$ and $\frac{3}{2}$ $3/2$ (to indicate that both points are part of the solution) and connect the two points with a line segment.

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How do you solve and graph $4 \geq 2 y - 5 \geq - 2$ $4>=2y-5>=-2$ ?

1 Answer

Explanation:

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How do you solve and graph $4 \geq 2 y - 5 \geq - 2$ $4>=2y-5>=-2$ ?