For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:
We subtract 7 from both sides of the inequality:
We divide between 12 on both sides of the inequality:
Thus, the solution is given by all values of x less than
Inequality 2:
We add 8 to both sides of the inequality:
We divide between 5 on both sides of the inequality:
Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞, ) U (
,∞)
Answer:
(-∞, ) U (
,∞)
Answer: The required answers are
(a) the slope of the given line is
(b) y-intercept exists and is equal to 6.
(c) the slope-intercept form of the line is
Step-by-step explanation: We are given the following linear equation in two variables :
We are to :
(a) determine the slope,
(b) determine the y-intercept, if exists
and
(c) express equation in slope-intercept form.
We know that
The SLOPE_INTERCEPT form of the equation of a straight line is given by
where m is the slope and c is the y-intercept of the line.
From equation (i), we have
Comparing with the slope-intercept form, we get
Thus,
(a) the slope of the given line is
(b) y-intercept exists and is equal to 6.
(c) the slope-intercept form of the line is