Solve for x.
-8 x+44 \geq 60 \quad \text { AND } \quad-4 x+50<58
Choose 1 answer:(A) x>-2 (B) x≤−2(C) x=−2(D) There are no solutions(E) All values of x are solutions
Q. Solve for x.−8x+44≥60 AND −4x+50<58Choose 1 answer:(A) x>−2(B) x≤−2(C) x=−2(D) There are no solutions(E) All values of x are solutions
Solve First Inequality: Solve the first inequality −8x+44≥60. To isolate x, we need to subtract 44 from both sides of the inequality. −8x+44−44≥60−44−8x≥16 Now, we divide both sides by −8. Remember that dividing by a negative number reverses the inequality sign. −8x/−8≤16/−8x≤−2
Solve Second Inequality: Solve the second inequality -4x + 50 < 58. Similarly, we subtract 50 from both sides to isolate the −4x term. -4x + 50 - 50 < 58 - 50 -4x < 8 Now, we divide both sides by −4, again remembering to reverse the inequality sign. -4x / -4 > 8 / -4 x > -2
Combine Solutions: Combine the solutions from Step 1 and Step 2.We have x≤−2 from the first inequality and x > -2 from the second inequality.These two inequalities contradict each other, as there is no number that is both greater than and less than or equal to−2 at the same time.Therefore, there are no solutions that satisfy both inequalities simultaneously.