Answer:
[tex]x>-\frac{11}{7}[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]-\frac{5}{4} (8x+4)<6-3x[/tex]
[tex](-\frac{5}{4} *8x)+(-\frac{5}{4} *4)<6-3x[/tex]
[tex]-\frac{40x}{4}-\frac{20}{4}<6-3x[/tex]
[tex]-10x-5<6-3x[/tex]
Step 2: Add 10x to both sides
[tex]-10x-5\mathbf{+10x}<6-3x\mathbf{+10x}[/tex]
[tex]-5<6+7x[/tex]
Step 3: Subtract 6 from both sides
[tex]-5\mathbf{-6}<6+7x\mathbf{-6}[/tex]
[tex]-11<7x[/tex]
Step 4: Divide both sides by 7
[tex]-11\mathbf{/7}<7x\mathbf{/7}[/tex]
[tex]x>-\frac{11}{7}[/tex]
Answer: [tex]x>-\frac{11}{7}[/tex]
Answer:
x > -11/7
Step-by-step explanation:
-10x - 5 < 6 - 3x
-5 -6 < -3x + 10x
7x > -11
x > -11/7
