Consider the functions g(x) = 6x + 7 and h(x) = 3x - 2. find {x: g(x) > h(x)}
2 answers:
(-3, infinity). ik because i did this
<u>Answer:</u>
The solution set is x ∈ ( -3 , ∞ ) .
<u>Step-by-step explanation:</u>
Two functions are given to us. And we have to find x such that g(x) > h(x) that is { x : g(x) > h(x)} .
So , the given functions are ,
- g(x) = 6x + 7
- h(x) = 3x - 2.
According to Question ,
⇒ g(x) > h(x)
⇒ 6x + 7 > 3x - 2
⇒ 6x - 3x > -2 -7
⇒ 3x > -9
⇒ x > (-9)/3
⇒ x > (-3)
Hence x can have all values greater than (-3). Therefore x ∈ (-3 , ∞ ) .
<h3>
<u>Hence </u><u>the </u><u>s</u><u>olution</u><u> set</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>∈</u><u> </u><u>(</u><u>-</u><u>3</u><u>,</u><u>∞</u><u>)</u></h3>
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