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sladkih [1.3K]
3 years ago
11

6x – 4 < –34 or 3x + 10 > 10

Mathematics
2 answers:
olganol [36]3 years ago
5 0
1. 6x-4< -34, or 3x+10 > 10. 

<span>6x-4 < -34. </span>
<span>6x < -34 + 4 </span>
<span>6x < -30 </span>
<span>X < -5. </span>

<span>3x + 10 > 10. </span>
<span>3x > 10 - 10 </span>
<span>3x > 0 </span>
<span>X > 0. </span>

<span>2. -2 <= 2x-4 < 4. </span>
<span>Add 4 to each end and the center: </span>
<span>-2 + 4<= 2x-4+4 < 4+4. </span>
<span>2 <= 2x < 8 </span>
<span>Divide each end and center by 2: </span>
<span>1 <= X < 4. </span>

<span>The compound inequality is actually 2 </span>
<span>inequalities and can be solved separately: </span>

<span>2x-4 => -2, and 2x-4 < 4. </span>

<span>2x-4 => -2. </span>
<span>2x => -2+4 </span>
<span>2x=> 2 </span>
<span>X => 1. </span>

<span>2x-4 < 4. </span>
<span>2x < 4+4 </span>
<span>2x < 8 </span>
<span>X < 4. </span>

<span>Solution: 1< = X < 4. or X => 1, and X<4 </span>

<span> TO CHECK: </span>

<span>1. Substitute any number < -5 for X. </span>
<span>Eq2: Subst. any number > 0 for X.</span>
kvv77 [185]3 years ago
5 0

Left side: x < -5

Right side: x > 0

Not sure if you want to graph it on a number line or a coordinate plane

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Let's suppose the age of the grandsons is x years and

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Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

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