9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
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<em>Additional comment</em>
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
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For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Answer:
10x^8 is the sum
Step-by-step explanation:
Answer: plane A = 333.33mph
Plane B = 500mph
Step-by-step explanation:
Given data:
Distance between the two planes = 2400miles.
Plane A flew North
Plane B flew south
Solution:
Let v represent plane A.
Let 2v represent plane B.
Distance between the two plane
v + 1.5* v = 3*v
7.5v = 2500miles
v = 333.33mph
Plane B has one and half times the speed of plane A
= 1.5 * 333.33
= 500mph
Answer:
B can be 1, 2, 4, 7, 8, 14, 28 and 56.
Basically any factor of 56.
Hope that helps!
<em>-scsb17hm</em>
Step-by-step explanation:
Answer:
System a will graph a pair of parallel lines.
Step-by-step explanation:
Both equations have the same slope.