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Marysya12 [62]
3 years ago
13

How do you graph the inequality of 4x-2y≤6 ?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

4x - 2y ≤ 6      <em>subtract 4x from both sides</em>

-2y ≤ -4x + 6     <em>change the signs</em>

2y ≥ 4x - 6     <em>divide both sides by 2</em>

<h3>y ≥ 2x - 3</h3>

y = 2x - 3 - it's a linear function. We need only two points to plot the graph.

Choose any two values of x and calculate the values of y:

for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)

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<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded to left

>, ≥ - shaded to right

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Subtract the polynomials.<br><br> (5x^2 −3x − 2) − (−2x^2 − x + 10)
zhuklara [117]
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3 years ago
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ArbitrLikvidat [17]

Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .

To Find : The correct option between the given ones . To write the compound inequality with integers .

Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .

\red{\tt Case\:1}

⇒ 19 ≥ t + 18 .

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⇒ t ≤ 19 - 18 .

⇒ t ≤ 1 = 1 ≥ t . ..................(i)

\red{\tt Case\:2}

⇒ t + 18 ≥ 11 .

⇒ t ≥ 11 - 18.

⇒ t ≥ -7 . ....................(ii)

<u>On</u><u> </u><u>combing</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>&</u><u> </u><u>(</u><u>ii</u><u>)</u><u> </u><u>.</u>

\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}

This means that t is less than or equal to 1 but greater than or equal to (-7) .

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