-(4x+6)<2(5x+9)+2x write the solution for interval notation
1 answer:
Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .
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<em>Complete Question:</em>
<em>The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins. </em>
<em> The -intercept means that there were[ ]inch(es) of snow on the ground at the start of the storm and the slope means that[ ]inch(es) of snow falls every hour during the storm. </em>
<em>Function: d(t)= 1/2t+6</em>
Answer:
Step-by-step explanation:
Given
Required
Determine the y intercept and the slope
y-intercept:
A function has a format of:
Where b represent the y intercept:
By comparison of and
Slope:
A function has a format of:
Where m represent the slope
By comparison of and